Previous Conferences & Workshops

Nov
04
2021

Workshop on the h-principle and beyond

Regularity of the limit set of embedded Poincaré Disks
Vincent Borelli
9:00am|Simonyi 101 and Remote Access

Abstract: Let f be an embedding of a non compact manifold into an Euclidean space and p_n be a divergent sequence of points of M. If the image points f(p_n) converge, the limit is called a limit point of f. In this talk, we will build an embedding f...

Nov
03
2021

Workshop on the h-principle and beyond

A Controlled Mather Thurston Theorem
Mike Freedman
4:00pm|Simonyi 101 and Remote Access

Abstract: The "c-principle" is a cousin of Gromov's h-principle in which cobordism rather than homotopy is required to (canonically) solve a problem. We show that  for the MT-theorem, when the base dimensions is not equal four, only the mildest...

Nov
03
2021

Workshop on the h-principle and beyond

Hamiltonian geometry behind compressible fluids
Boris Khesin
2:15pm|Simonyi 101 and Remote Access

ABSTRACT: We describe a geometric framework to study Newton's equations on infinite-dimensional configuration spaces of diffeomorphisms and smooth probability densities. It turns out that several important PDEs of hydrodynamical origin can be...

Nov
03
2021

Workshop on the h-principle and beyond

The flexibility of caustics and its applications
Daniel Alvarez-Gavela
11:45am|Simonyi 101 and Remote Access

Abstract: Singularities of smooth maps are flexible: there holds an h-principle for their simplification. I will discuss an analogous h-principle for caustics, i.e. the singularities of Lagrangian and Legendrian wavefronts. I will also discuss...

Nov
03
2021

Arithmetic Groups

Non-virtually abelian anisotropic linear groups are not boundedly generated
Jinbo Ren
11:00am|Remote Access
From Andrei's talk, we have seen the significance of the notion of Bounded Generation in group theory. In this talk, we will show that if a linear group $\Gamma \subset \mathrm{GL}_n(K)$ over a field $K$ of characteristic zero is boundedly generated...
Nov
02
2021

Workshop on the h-principle and beyond

Chaos in the incompressible Euler equation on manifolds of high dimension
Francisco Torres de Lizaur
2:15pm|Simonyi 101 and Remote Access

Abstract: In this talk we will show how to construct finite dimensional families of non-steady solutions to the Euler equations, existing for all time, and exhibiting all kinds of qualitative dynamics in the phase space of divergence-free vector...

Nov
02
2021

Workshop on the h-principle and beyond

Lefschetz fibrations on the Milnor fibers of cusp singularities and applications
Yoshihiko Mitsumatsu
11:45am|Simonyi 101 and Remote Access

Abstract:  We introduce Lefschetz fibration structures on the Milnor fibers of simple-elliptic and cusp singularities in complex three variables, whose regular fibers are diffeomorphic to the 2-torus. We know two ways to construct them and explain h...