Departement Mathematik

Zurich colloquium in mathematics

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Herbstsemester 2017

Datum / Zeit Referent:in Titel Ort
26. September 2017
17:15-18:15 		Prof. Dr. Jean-Michel Coron
ETH-ITS and Université Pierre et Marie Curie
Details

Zurich Colloquium in Mathematics

Titel On the control of incompressible fluids
Referent:in, Affiliation Prof. Dr. Jean-Michel Coron, ETH-ITS and Université Pierre et Marie Curie
Datum, Zeit 26. September 2017, 17:15-18:15
Ort KO2 F 150
On the control of incompressible fluids
KO2 F 150
17. Oktober 2017
17:15-18:15 		Prof. Dr. Mark Gross
University of Cambridge, UK
Details

Zurich Colloquium in Mathematics

Titel A general mirror symmetry construction
Referent:in, Affiliation Prof. Dr. Mark Gross, University of Cambridge, UK
Datum, Zeit 17. Oktober 2017, 17:15-18:15
Ort KO2 F 150
A general mirror symmetry construction
KO2 F 150
14. November 2017
17:15-18:15 		Prof. Dr. René Carmona
Princeton, USA
Details

Zurich Colloquium in Mathematics

Titel Mean Field Games: where do we stand a decade later
Referent:in, Affiliation Prof. Dr. René Carmona, Princeton, USA
Datum, Zeit 14. November 2017, 17:15-18:15
Ort 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. Dezember 2017
17:15-18:15 		Prof. Dr. Peter Sarnak
Princeton University
Details

Zurich Colloquium in Mathematics

Titel Integer points on affine cubic surfaces
Referent:in, Affiliation Prof. Dr. Peter Sarnak, Princeton University
Datum, Zeit 4. Dezember 2017, 17:15-18:15
Ort HG G 3
Integer points on affine cubic surfaces
HG G 3
5. Dezember 2017
17:15-18:15 		Prof. Dr. Catharina Stroppel
Mathematisches Institut der Universität Bonn
Details

Zurich Colloquium in Mathematics

Titel From Kleinian singularities to Khovanov homology
Referent:in, Affiliation Prof. Dr. Catharina Stroppel, Mathematisches Institut der Universität Bonn
Datum, Zeit 5. Dezember 2017, 17:15-18:15
Ort 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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