Past events 2012
- Friday, November 30, at 12.30 in room G5-112
Matematiske Perler 10/Mathematical Pearls 10
Radu Mardare, Department of Computer Science, Aalborg University: Provability, Truth and Metamathematics
Abstract:
In the past decades significant research in Mathematics and Computer Science adopted logical and metamathematical methods and techniques, such as duality theories, logical and model-theoretical analysis. The work of Stone and Priestley showed unexpected relations between algebras and topology; the pioneering vision of Grothendieck showed the power of the dual viewpoint in the fruitful applications of duality to algebraic geometry (schemes). Later the non-commutative geometry programme of Connes showed the possibility of working with the dualized point of view. All these opened new perspectives in science while solving challenging problems in emergent fields like engineering, economics, or natural sciences.
However, these logical methods and tools rely on the revolutionary results of the last century in the field of Foundations of Mathematics and Computation, Mathematical Logic and Model Theory due to scientists such as Georg Cantor, Gottlob Frege, Bertrand Russell, Kurt Gödel, Alan Turing, Alonzo Church to name but a few. These results have impacted first of all the way we think of Mathematics and mathematical structures in general by emphasizing the limits of mathematical reasoning and a tremendous distinction between mathematical truth and provability.
In this talk I will present the evolution of our understanding of the concepts of provability in Mathematics and its relation to the concept of truth. We will start our journey from the pioneering work of Kant, Leibniz and Newton and their attempt of defining a formal Metaphysics; we will then follow the crisis of the Foundations of Mathematics and apprehend the paradoxes of Set Theory; and we will conclude with a presentation of Gödel’s theorems that prove the incompleteness of Arithmetic.
This is a seminar in our special series of seminars, "Matematiske Perler" (= Mathematical Pearls") - seminars that will be of general interest for mathematicians within all mathematical disciplines and other scientists with mathematical interest.
The Department will serve a light lunch and you will get a chance to meet the other participants in an informal atmosphere.
REGISTRATION: Please register to Merete Heide, merete@math.aau.dk, on Friday, November 23, at the latest. - Onsdag, 7. november, kl. 10.00 i lokale G5-112
Informationsmøde for 3. semester matematikstuderende
Jakob Gulddahl Rasmussen informerer de studerende om de bestemmelser i bekendtgørelser og studieordninger, der har indflydelse på valg af tilvalgsfag/suppleringsfag og kandidatstudium.
Initiativtager: Informationsudvalget
Onsdag, 7. november, kl. 12.30 i lokale G5-112
Informationsmøde for studerende om PhD stipendier
Jesper Møller, som er leder af Forskerskolens program `Mathematics & Physics' vil informere om Ph.D.-uddannelse: forudsætninger, finansiering, fremtidsperspektiver osv.). Et mål er også at give de studerende et realistisk billede af det faglige niveau for et Ph.D.-studium og at foranledige, at en studerende vil kunne målrette sit speciale imod et emne, som der er Ph.D.-potentiale i.
Initiativtager: InformationsudvalgetOnsdag, 31. oktober kl. 14.30 i lokale G5-109
Informationsmøde for 5. semester matematik-studerende
Informationsmøde om 6. semester samt de forskellige muligheder for specialisering i kandidatstudiet. Nedenfor information om, hvilke personer de studerende eventuelt kan kontakte efter mødet for yderligere spørgsmål.
Generel information, Søren Højsgaard
Information vedr. Diskret Matematik, Diego Ruano
Information vedr. Anvendt Matematisk Analyse, Jon Johnsen
Information vedr. Statistik, Rasmus Waagepetersen
Initiativtager: Informationsudvalget - 24. og 25. oktober
Studiepraktik for elever fra de gymnasiale uddannelser
http://www.studiepraktik.aau.dk/
Thursday, October 25, at 14.00 in room G5-112
Dan Svenstrup, Senior analyst, Institutional Risk Advisory, Danske Bank: Applications of Markov Chain Monte Carlo in finance
Abstract: For the previous many years, computers have grown increasingly more powerful. The access to huge computer power has meant that new possibilities for the use of computationally demanding algorithms like Markov Chain Monte Carlo (MCMC) have emerged. An MCMC algorithm is basically a method by which samples can be drawn from a distribution by simulating a Markov chain with appropriate distributional properties. Over the years a lot of different MCMC algorithms have been proposed, of which the two perhaps most well known are the Metropolis sampler and the Gibbs sampler. I will describe the basic properties of the Gibbs sampler and try to illustrate some of the difficulties typically arising in practice when using MCMC algorithms. Finally, I will give a non-trivial example from the financial industry. The example shows how an MCMC algorithm was used to estimate parameters and latent variables in a jump diffusion model for stock returns, a complex problem with several thousand unknown variables.
Bibliography: - W.R. Gilks, S. Richardson, and D.J. Spiegelhalter. Markov Chain Monte Carlo in Practice. Chapman & Hall/CRC, 1996.
- Paul Glasserman. Monte Carlo methods in financial engineering. Springer 2004
- Daniel Fink. A Compendium of Conjugate Priors. Available at www.johndcook.com/CompendiumOfConjugatePriors.pdf, 1997
Host: Robert Jacobsen
- Fredag, 12. oktober, kl. 14.30 i lokale G5-109
Informationsmøde for 5. og 7. semester studerende, matematik og matematikøkonomi
Esben Høg og Martin Raussen vil informere om mulighederne for, at studerende - som en del af deres uddannelse - opholder sig ét semester på en uddannelsesinstitution eller en virksomhed (matøk) enten i DK eller i udlandet. Et sådan semester kræver ofte lang planlægningstid. På mødet vil der bl.a. informeres om Erasmusaftaler.
Inititativtager: Informationsudvalget - Friday, September 21, at 12.40 in room 4-111, Niels Jernes vej 14
Matematiske Perler 9/Mathematical Pearls 9
Robin Wilson, Pembroke College, Oxford University: The Great Mathematicians.
ABSTRACT: How many great mathematicians can you name? What is a mathematician anyway? Last year I co-authored a book entitled 'The Great Mathematicians'. Aimed at the interested general public, this coffee-table book, containing 350 illustrations, consists of about 100 double-page spreads, each featuring a mathematician or group of mathematicians. In this lecture I shall present ten of these spreads on a wide range of topics, from Pythagoras's geometry and the Mayans' calendars, via Fibonacci's rabbits and Napier's logarithms, to the statistical work of Florence Nightingale and the contributions of David
Hilbert.
This is a seminar in our special series of seminars, "Matematiske Perler" (= Mathematical Pearls") - seminars that will be of general interest for mathematicians within all mathematical disciplines and other scientists with mathematical interest.
The Department will serve a light lunch and you will get a chance to meet the other participants in an informal atmosphere.
REGISTRATION: Please register to Merete Heide, merete@math.aau.dk, on Monday, September 17, at 12.00 at the latest.
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Robin Wilson is Emeritus Professor of Mathematics at the Open University and at Gresham College in London (where he held the oldest maths chair in the country), and is a former Fellow of Mathematics at Keble College, Oxford University; he now holds a part-time teaching post at Pembroke College, Oxford. He is well known as a communicator and populariser of mathematics, and he has written and edited about forty books on a wide range of topics, from graph theory and the history of mathematics to the Gilbert & Sullivan operas, sudoku, and philately. - 5-7 September 2012, room G5-112
ACAT Workshop
The ACAT in Aalborg Workshop focuses on Directed Algebraic Topology and Concurrency, Homology Computations and related subjects. It is aimed at mathematicians and computer scientists working in or interested in these subjects. The aim of the workshop is to exchange ideas and to initiate or expand research collaboration.
LINK to ACAT Workshop website
Local Organizers: Lisbeth Fajstrup and Martin Raussen - Thursday, September 6, at 14.00 in room G5-112
Emmanuel Haucourt, CEA LIST, Paris: Directed geometric realisation, fundamental categories, their representations and applications to concurrency
ABSTRACT
Directed Algebraic Topology (DAT) deals with "directed" spaces. The notion of direction can be formalized in several different ways. We provide two of them that are intuitive and actually equivalent. While simplicial sets are widely accepted as the "good" combinatorial framework for Algebraic Topology, Cubical Sets better fit to DAT. We define the directed geometric realization of a cubical set and the fundamental category of a directed space. Then we focus on those cubical sets which are products of 1-dimensional cubical sets. They are of specific interest for both following reasons:
- the fundamental categories admit a concise description (Categories of Components)
- they can be handled by computers (Areas)
- they can be considered as the control flow structure of concurrent programs (PV language) - Friday, June 29, at 13.00 in room G5-112
PhD Defense
Kenneth Niemann Rasmussen, Department of Mathematical Sciences, will defend his thesis "On the construction of flexible frames and bases for decomposition spaces".
(The thesis can be obtained here, pdf-file)
Abstract:Wavelets have proven a very useful tool for representing images and sound signals, but new generalized wavelet systems perform even better in certain cases. I have focused on the construction of flexible generalized wavelet systems with a prescribed nature such as compact support.
The constructions are done by using a perturbation principle which allows flexible frames and bases to be constructed from already known frames and bases. These new frames and bases consist of finite linear combinations of shifts and dilates of a single function with sufficient smoothness and decay.
With this principle I have constructed a compactly supported atomic decomposition for Triebel-Lizorkin type spaces and the associated modulation spaces. These spaces are a broad subclass of decomposition spaces built on structured coverings of the frequency space. Furthermore, I have constructed a compactly supported curvelet type frame with the same sparse representation properties as curvelets for appropriate classes of smooth functions. Curvelets are building blocks which give an essentially optimal sparse representation of functions that are C2 except for discontinuities along piecewise C2-curves.
After the defense the Department will have a small reception.
Everybody is welcome. - Thursday, July 5, at 14.00 in room G5/112
James Curran, University of Auckland: Statistical interpretation of forensic glass evidence
Abstract:
Forensic statistics is about making inference on evidence, e.g. found at the scene of crime.The evidence can take many forms: biological material, fingerprints, bullet cases etc.
In this talk the evaluation of forensic glass evidence is discussed and the statistical methods used to produce the weight of evidence is presented. The measurements taken on glass evidence is comprised of mass spectroscopy, which induces the statistical analysis to rely on multivariate models.
However, the talk will cover both univariate and multivariate methods.
Host: Torben Tvedebrink - Thursday, June 28, at 14.00 in room G5-112
Ole Christensen, DTU: From Gabor frames to wavelet frames and vice versa
Abstract:
We will give a short presentation of some of the key ideas behind frame theory, and illustrate this with discussions of their role in time-frequency analysis, in particular, Gabor analysis and wavelet analysis. After that we will present a new method that allows to construct (pairs of dual) wavelet frames based on certain Gabor frames, and vice versa.
Host: Morten Nielsen - Thursday, June 28, at 15.00 in room G5-112
Stephan Dahlke, Philipps-Universität Marburg: The continuous shearlet transform and shearlet coobit spaces.
Abstract:
In the context of directional signal analysis several approaches have been suggested such as ridgelets, curvelets, contourlets, shearlets and many others. Among all these approaches, the shearlet transform is outstanding because it is related to group theory, i.e., this transform can be derived from a square-integrable representation the so-called shearlet group. Therefore, in the context of the shearlet transform all the powerful tools of group representation theory can be exploited. Moreover, there is a very natural link to another useful concept, namely the coorbit space theory introduced by Feichtinger and Groechenig in a series of papers. By means of the coorbit space theory, it is possible to derive in a very natural way scales of smoothness spaces associated with the group representation. In this setting, the smoothness of functions is measured by the decay of the associated voice transform. Moreover, by a tricky discretization of the representation, it is possible to obtain Banach frames for these smoothness spaces. We show that for the shearlet case, all the assumptions needed for the application of the coorbit space theory can be satisfied, so that new smoothness spaces, the shearlet coorbit spaces, are established. Moreover, we investigate the structure of these new smoothness spaces. We show that for natural subclasses of shearlet coorbit spaces which correspond to 'shearlets on the cone', there exist embeddings into homogeneous Besov spaces and that for the same subclasses, the traces onto the coordinate axis can again be identified withhomogeneous Besov spaces or shearlet coorbit spaces. To prove our results we use compactly supported shearlets and apply atomic characterizations of Besov spaces as well as molecular descriptions of coorbit spaces.
This is joint work with G. Steidl (TU Kaiserslautern) and G. Teschke (FH Neubrandenburg). - Host: Morten Nielsen
Friday, June 15, at 14.00 in room G5-109
Eric Postma, TiCC, Tilburg University, The Netherlands: The rhythm of Van Gogh
Abstract: Art historians claim to be able to recognize authentic paintings by the "hidden signature" of the author. In the case of Van Gogh, art historians claim to recognize his "rhythm", referring to the specific repetition of brushstrokes. The presentation gives an overview of our scientific attempts to detect the hidden signature of Van Gogh.
Specifically, the focus will be on our work with multi-scale Gabor filters in relation to their perceptual and biological plausibility.
Host: Arne Jensen
Further information: This is a non-technical presentation aimed at a general audience.
Eric Postma is a member of the assessment committee for Robert Jacobsen's PhD thesis.
- Friday, June 15, at 19.00 at Niels Jernes vej 14, room 14/4-111
PhD Defense
Robert Jacobsen, Department of Mathematical Sciences, will defend his thesis "Digital painting analysis authentication and artistic style from digital reproductions".
(The thesis can be obtained here, pdf-file)
Abstract:
This PhD thesis concerns mathematical and statistical modelling of visual art - an approach at quantifying artistic style and visual appearance. The main focus have been to develop methods that can distinguish paintings by different artists, thereby making it possible to detect forgeries.
A more general study of stylometry is also presented, and it is demonstrated that one can use other separating factors besides the artist as an application of the same general statistical models.
After the defense refreshments will be served at the Department, Fredrik Bajers Vej 7G.
Everybody is welcome.
- Thursday, May 31, at 14.00 in room G5-112
Henrik Schiøler, Department of Electronic Systems, Aalborg University: Stochastic stability of Markovianly switched systems.Abstract: This presentation discusses criteria for e-moment stability (boundedness) and ergodicity for a class of systems comprising a finite set of diffusions among which switching is governed by a continuous time Markov chain. Stability/instability properties for each separate subsystem are assumed to be quantified by a Lyapunov function candidate and an associated growth rate equation. For the set of Lyapunov functions a compatibility criterion is assumed to be fulfilled bounding the ratio between pairs of Lyapunov functions. The established criterion is shown to be equivalent to an exact criterion for the almost sure convergence of an associated process bounding moments of the process under study. Examples are provided to illustrate the use of the established criterion.
Host: Horia Cornean
Thursday, April 19, at 14.00 in room G5-112
Abstract: Since the pioneering work by Mandelbrot and Van Ness in 1968, the fractional Brownian motion (fBm ) has been a classical stochastic process (used in biology, physics, seismology, hydrology, economics, finance,...) for modelling one-dimesional self-similar or long-memory processes. In particular, we have recently applied this model to characterize the regularity and dependence (through the estimation of the fractal exponent) of fMRI signals acquired in the brain of resting-state patients. This analysis was conducted independently on each region of interest of the brain. Despite the first analysis showed interesting results, the model needed to be considerably improved in order to take into account the possible connectivity of regions of interest.
Jean-François Coeurjolly, LJK, Grenoble: About the multivariate fractional Brownian motionIn this talk, we present an extension of the fBm to the multivariate case that may be well-suited to such data: the multivariate fractional Brownian motion (mfBm).
After recalling some facts about the fBm, we will state some theoretical properties of the mfBm: (cross)-correlation, spectral density matrix, wavelet analysis, existence conditions. Then, we will detail how we can exactly and quickly generate sample paths of the mfBm. Finally, we will focus on the statistical inference and mainly on the joint estimation of the fractal exponents (H_1,...,H_p) using a discrete variations techniques.
This talk is based on several works in collaboration with S. Achard and P.-O. Amblard (Gipsa-lab, Grenoble University France) and A. Philippe and F. Lavancier (Laboratory Jean Leray, Nantes University, France).
Host: Ege Rubak
- Friday, April 20 at 12.10 in room G5-112
"Matematiske Perler 8"
Rolf Jeltsch, ETH Zürich: Simulation: Modern technique for solving problemsAbstract. Classically one tried to understand phenomena by developing mathematical theories based on observations and experiments. With the birth of computers one is able to test theories of high complexity. The need to use simulations to understand phenomena is exemplified. After a brief introduction to ordinary differential equations we concentrate on models based on such equations. In particular we focus on the control of robots used in industry and in the space shuttle. As examples where a very large number of equations have to be solved simulations of particle beams in accelerators, transonic flow around disk and three dimensional combustion are given. To show the importance of mathematical modelling we look at transport problems in particular the shallow water equations which governs weather and climate models, tsunamis but also debris flow.
Host: Martin Raussen
This is a seminar in our special series of seminars, "Matematiske Perler" (= Mathematical Pearls") - seminars that will be of general interest for mathematicians within all mathematical disciplines and other scientists with mathematical interest.
The Department will serve a light lunch and you will get a chance to meet the other participants in an informal atmosphere.
REGISTRATION: Please register to Merete Heide, merete@math.aau.dk, on Monday, April 16, at 12.00 at the latest.
Thursday, March 29 2012, at 13.30 in room G5-109
Rafael D. Benguria, Physics, Universitdad Católica de Chile, Santiago: A New Estimate on the Two-Dimensional Indirect Coulomb Energy
Abstract: We prove a new lower bound on the indirect Coulomb energy in two dimensional quantum mechanics in terms of the single particle density of the system. The new universal lower bound is an alternative to the Lieb-Solovej-Yngvason bound with a smaller constant, C=(4⁄3)3⁄2 √ 5 π -1 ≈ 5.90 < CLSY= 192 √ 2 π ≈ 481.27
of the single particle density.
I will also review the analogous situation in 3-d.
In 2-d this is joint work with P. Gallegos and M. Tusek. In 3-d is a joint collaboration with G. Bley and M. Loss.
Host: Arne Jensen
- Thursday, March 29 2012, at 14.45 in room G5-109
Didier Robert, CNRS, Université de Nantes , Time evolution of coherent states and applications.Abstract: In this lecture we shall revisit several properties of Gaussian coherent states and their connections with quantum quadratic Hamiltonians. More generally we shall put emphasis on the semi-classical régime for the time dependent Schrödinger equation.
We shall give some applications in quantum mechanics: the quantum Zeno effect, the Schrödinger cat problem, the quantum Kerr effect, the decoherence problem.
Host: Arne Jensen
Wednesday, March 28, at 13.00 inthe Auditorium B3-104 at Fredrik Bajers Vej 7, B-building
DOCTORAL DEFENSE
Horia Cornean, Department of Mathematical Sciences, Aalborg University,will give a talk and defend his Doctoral Dissertation
Various rigorous results on quantum systems with long range magnetic fields.
Abstract:Among the different fields of mathematical physics which I have been investigating during the last fifteen years, a special place is taken by the spectral analysis of magnetic Schrödinger operators, including thermodynamic behavior of large systems and rigorous condensed matter theory.
The dissertation is based on eight selected papers, which cover the following topics:
1. Lipschitz continuity of spectral band edges of magnetic Schrödinger and Harper-like operators.
2. Scattering theory of2Dparticles subjected to very long range magnetic fields.
3. Thermodynamic limit of the magnetization of Bloch electrons.
4. A rigorous derivation of the Landau-Peierls formula.
After the defense there will be a reception.Everybody is welcome.
Thursday, March 1, 2012 at 14.00 in room G5-109
Lasse Bork, Dept. of Business and Management, Aalborg University: Housing price forecastability: A factor analysisAbstract: We examine US housing price forecastability using a common factor approach based on 122 economic time series. We find that a simple factor model generates an explanatory power of about 50% in one-quarter ahead in-sample forecasting regressions. The model also contains statistically significant out-of-sample predictive power and works substantially better than a univariate autoregressive benchmark model.
Kewords: House prices; Forecasting; Factor model; Principal components; Macroeconomic factors
Host: Esben Høg
Thursday, 23 February, 2012, at 14.00 in room G5-112
Distinguished Research Scientist, Research Director, Dr David G. Storck, Rambus Labs: When Computers look at art: Image analysis in humanistic studies of the visual arts.New computer methods have been used to shed light on a number of recent controversies in the study of art. For example, computer fractal analysis has been used in authentication studies of paintings attributed to Jackson Pollock recently discovered by Alex Matter. Computer wavelet analysis has been used for attribution of the contributors in Perugino's Holy Family. An international group of computer and image scientists is studying the brushstrokes in paintings by van Gogh for detecting forgeries. Sophisticated computer analysis of perspective, shading, color and form has shed light on David Hockney's bold claim that as early as 1420, Renaissance artists employed optical devices such as concave mirrors to project images onto their canvases.
How do these computer methods work? What can computers reveal about images that even the best-trained connoisseurs, art historians and artist cannot? How much more powerful and revealing will these methods become? In short, how is computer image analysis changing our understanding of art?
This profusely illustrate lecture for non-scientists will include works by Jackson Pollock, Vincent van Gogh, Jan van Eyck, Hans Memling, Lorenzo Lotto, and others. You may never see paintings the same way again.
Joint work with Antonio Criminisi, Andrey DelPozo, David Donoho, Marco Duarte, Yasuo Furuichi, Micah Kimo Johnson, Dave Kale, Ashutosh Kulkarni, Gabor Nagy, M. Dirk Robinson, Silvio Savarese, Morteza Shahram, Ron Spronk and Christopher W. Tyler.
Host: Arne Jensen
- Friday, February 17, 2012, at 12.10 in room G5-112
"Matematiske Perler 7"
Marie-Francoise Roy, IRMAR, Université de Rennes 1: Certificates of positivityAbstract: If a polynomial takes only positive values, is it possible to produce a certificate making it obvious? For example, writing P as a sum of squares is a certificate of positivity for P.
This problem has a long history.In 1927, Emil Artin proved that every positive polynomial is a sum of squares of rational functions, giving thus a positive answer to Hilberts 17-th problem. His proof, based on Zorn's lemma, is highly non constructive and finding explicitly the sum of squares is a very difficult task.
Another approach, by Polya and Bernstein, is to express the polynomial in a convenient basis where the positivity of all the coefficients implies the positivity of the polynomial. The Bernstein basis, univariate and multivariate, plays a key role there, but the degree bounds are horrendous.
Recent results, with F. Boudaoud, F. Caruso and R. Leroy, based on a local approach of such certificates, give certificates with no increase in degree, and a much smaller size...
This is a seminar in our special series of seminars, "Matematiske Perler" (= Mathematical Pearls") - seminars that will be of general interest for mathematicians within all mathematical disciplines and other scientists with mathematical interest.
The Department will serve a light lunch and you will get a chance to meet the other participants in an informal atmosphere.
Host: Lisbeth Fajstrup
REGISTRATION: Please register to Merete Heide, merete@math.aau.dk, at Thursday, February 9, at 12.00 at the latest.
Thursday, 23 February, 2012, at 14.00 in room G5-112
- Torsdag, 16. februar, 2012, kl. 13.30-15.00 i lokale G5-109
Morten Aagard og Kristian Melchior Echwald, Aalborg Universitet: Musik og matematik-beretninger fra et samarbejde.
Aalborg har som bekendt en af de førende kompetenceklynger i verden inden for Bayesianske net. Men kan Bayesianske net bruges som udgangspunkt for musik, og i givet fald hvordan? Og hvilke perspektiver tegner der sig, når man bruger Bayesianske net til at lave musik ud fra? Disse spørgsmål satte datalogen Morten Aagaard og komponisten Kristian Melchior Echwald sig for at undersøge, med hjælp fra bl.a. professor Finn Verner. Ved dette foredrag fortæller de to om processen med at udvikle musik til koncerten En Sang for Bayes, og om de overvejelser, de fra hver sit ståsted har gjort sig om det at kombinere musik og matematik.
- Thursday, February 16, 2012, at 12.30 in room G5-112
Olga Lukina, University of Leicester: Hierarchy of graph matchbox manifolds.
Abstract: I will present a recent work on a special type of foliated
spaces. In the first half of the talk I explain some background
concepts, and outline some of open problems in this (largely unexplored)
area. In the second half I will talk about a special class of foliated
spaces, called graph matchbox manifolds, which were initially
constructed by Kenyon and Ghys. For graph matchbox manifolds I will
introduce a quantifier of dynamical complexity called a level, and will
look at the hierarchy of infinite levels in the space of graph matchbox
manifolds. The results were obtain using a simple but powerful
construction which I call fusion.
Host: Lisbeth Fajstrup
- Thursday, January 19, 2012, at 14.00 in room G5-112
Krzysztof Ziemianski, University of Warsaw : Categories of directed spaces
In Directed Algebraic Topology, two categories are widely used: the category of d-spaces and the category of streams. I will construct a common subcategory of these two categories (called good d-spaces). Next, I will define the class of locally d-path connected d-spaces (ldpc-spaces) and prove that the categories of ldpc-spces and good ldpc spaces are complete, cocomplete and Cartesian closed.
Host: Martin Raussen
- Friday, February 17, 2012, at 12.10 in room G5-112
