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Scientific events of the Graduiertenkolleg
daily12014-10-10T11:30:05ZLecture Series "Triangulated categories of motivic sheaves", 25-28 February 2020, Universität Freiburg http://www.gk1821.uni-freiburg.de/event/lecture%20series Cohomology theories in algebraic geometry do not come alone, but with
associated "sheaf theories" and a rich functoriality with respect to
morphisms of schemes ("six operation formalism"). The archetypal
example is the theory of étale and l-adic sheaves developed in SGA4-5,
which has been adapted to many other settings (analytic sheaves,
D-modules, etc.) Thanks to the work of Voevodsky and his successors,
we now have a theory of triangulated categories of étale motivic
sheaves which generalises the theory of étale sheaves and is, in some
sense, the universal such (triangulated) sheaf theory. Surprisingly,
morphism groups in these categories are related to algebraic cycles.
In this course, I will first explain the construction of these
categories and develop their functoriality. I will then describe some
of the related conjectures which promise tannakian insights into the
structure of algebraic cycles, and I will end with the particular case
of 1-motivic sheaves, coming from relative curves, where everything is
well-understood.No publisherbrunnerLecture Series2020-01-14T09:28:05ZEventDarmstadt-Erlangen-Freiburg Seminar on Conformal Field theory, Friday, July 5, 2019 Institut für Mathematik Albert-Ludwigs-Universität Freiburg http://www.gk1821.uni-freiburg.de/event/DEFCFT19 No publisherbrunnerSpecial Event2019-03-15T11:00:59ZEventLecture Series "Hypoelliptic laplacian and applications", 20-24 May 2019, Universität Freiburg http://www.gk1821.uni-freiburg.de/event/bismut The purpose of the lectures is to give an introduction to the hypoelliptic Laplacian and to the results which have been obtained so far by this method.
The hypoelliptic Laplacian gives a universal interpolation between the Laplacian and the generator of the geodesic flow through a family of hypoelliptic operators acting on a bigger space than the original Laplacian. There are as many hypoelliptic Laplacians as there are Laplacians.
To this deformation of operators corresponds an interpolation of dynamics, that interpolates between Brownian motion, with the most irregular paths possible, and the geodesics which have the most regular trajectories.
Explicit geometric formulas for certain orbital integrals will appear as consequences. These give in arbitrary dimensions the analogues of the geometric formula obtained by Selberg in the case of Riemann surfaces.
The lectures are given by Jean-Michel Bismut. Additionally, he will give a Colloquium talk for the general audience. No publisherbrunnerLecture Series2019-05-20T07:35:47ZEventFourth Meeting for Young Women in Mathematics “Cohomological Methods in Geometry” http://www.gk1821.uni-freiburg.de/event/Young_Women_2019 We are hosting a meeting for young women in mathematics at the University of Freiburg as part of our program "Cohomological Methods in Geometry". No publisherbrunnerSpecial Event2019-04-29T09:12:22ZEventThird Meeting for Young Women in Mathematics, February 12-14, 2017 http://www.gk1821.uni-freiburg.de/event/event-folder/Women%20conference%202017/third-meeting-for-young-women-in-mathematics-february-12-14-2017 No publisherbrunnerSpecial Event2017-02-07T08:37:17ZEvent