Zurich colloquium in mathematics

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Date / Time

Speaker

Title

Location

26 September 2017
17:15-18:15

Prof. Dr. Jean-Michel Coron
ETH-ITS and Université Pierre et Marie Curie

Event Details

Title	On the control of incompressible fluids
Speaker, Affiliation	Prof. Dr. Jean-Michel Coron, ETH-ITS and Université Pierre et Marie Curie
Date, Time	26 September 2017, 17:15-18:15
Location	KO2 F 150

On the control of incompressible fluids

KO2 F 150

17 October 2017
17:15-18:15

Prof. Dr. Mark Gross
University of Cambridge, UK

Event Details

Title	A general mirror symmetry construction
Speaker, Affiliation	Prof. Dr. Mark Gross, University of Cambridge, UK
Date, Time	17 October 2017, 17:15-18:15
Location	KO2 F 150

A general mirror symmetry construction

KO2 F 150

14 November 2017
17:15-18:15

Prof. Dr. René Carmona
Princeton, USA

Event Details

Title	Mean Field Games: where do we stand a decade later
Speaker, Affiliation	Prof. Dr. René Carmona, Princeton, USA
Date, Time	14 November 2017, 17:15-18:15
Location	KO2 F 150
Abstract	Abstract: We introduce the Mean Field Game (MFG) paradigm using a classical model for bird flocking. We then review the probabilistic approach based on Forward-Backward Stochastic Differential Equations (FBSDEs) which we illustrate with a model for crowd motion. Back to the Partial Differential Equation (PDE) approach, we derive Lions' Master Equation from a version of the chain rule (Ito's formula) for functions over flows of probability measures. Finally, we use a MFG model of jet lag quantifying the synchronization of circadian rhythms to illustrate numerically bifurcations / phase transitions in the qualitative properties of the equilibria and raise more challenging problems concerning the stability properties of the MFG equilibria.

Mean Field Games: where do we stand a decade laterread_more

KO2 F 150

* 4 December 2017
17:15-18:15

Prof. Dr. Peter Sarnak
Princeton University

Event Details

Title	Integer points on affine cubic surfaces
Speaker, Affiliation	Prof. Dr. Peter Sarnak, Princeton University
Date, Time	4 December 2017, 17:15-18:15
Location	HG G 3

Integer points on affine cubic surfaces

5 December 2017
17:15-18:15

Prof. Dr. Catharina Stroppel
Mathematisches Institut der Universität Bonn

Event Details

Title	From Kleinian singularities to Khovanov homology
Speaker, Affiliation	Prof. Dr. Catharina Stroppel, Mathematisches Institut der Universität Bonn
Date, Time	5 December 2017, 17:15-18:15
Location	KO2 F 150
Abstract	In this talk we will try to make a little tour from the classical theory of singularities in the sense of Felix Klein to modern developments in representation theory. The main idea behind it is the concept of categorification. This idea will not be explained in detail, but illustrated by an example. The socalled Kleinian singularities arise from finite subgroups of SL(2,C) and have beautiful explicit descriptions. We will present a generalization of them (certain special examples of Springer fibres) and indicate their role in symplectic geometry and Fukaya categories. As an application we will present a construction of Khovanov homology, which is a knot invariant categorifying the Jones polynomial.

From Kleinian singularities to Khovanov homologyread_more

KO2 F 150

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