Previous Conferences & Workshops

Apr
07
2022

Joint IAS/Princeton University Number Theory Seminar

The average size of 3-torsion in class groups of 2-extensions
Robert Lemke Oliver
4:30pm|Remote Access and Fine 214

We determine the average size of the 3-torsion in class groups of $G$-extensions of a number field when $G$ is any transitive 2-group containing a transposition, for example, $D4$.  It follows from the Cohen--Lenstra--Martinet heuristics that the...

Apr
07
2022

Workshop on Recent developments in incompressible fluid dynamics

On the competition between advection and vortex stretching
Jiajie Chen
4:00pm|Simonyi 101 and Remote Access

Abstract: Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is an outstanding open problem. The presence of vortex stretching is the primary source of a potential finite-time singularity...

Apr
07
2022

Workshop on Recent developments in incompressible fluid dynamics

Non-Newtonian fluids and convex integration
Stefano Modena
2:00pm|Simonyi 101 and Remote Access

Abstract: The viscosity of a fluid is usually a constant, independent of the stress. There are however in nature several examples of fluids (ice, molten lava, blood, certain polymers, some salt solutions) where viscosity changes under applied forces...

Apr
07
2022

Workshop on Recent developments in incompressible fluid dynamics

Self-similar gravitational collapse
10:30am|Simonyi 101 and Remote Access

Abstract: We discuss recent mathematical constructions of self-similar gravitational collapse for Newtonian stars governed by the Euler-Poisson system, known as Larson-Penston solutions for the isothermal stars and Yahil solutions for polytropic...

Apr
07
2022

Workshop on Recent developments in incompressible fluid dynamics

The quartic integrability and long time existence of steep water waves in 2D
9:00am|Simonyi 101 and Remote Access

Abstract:  It is known since the work of Dyachenko & Zakharov  that for the weakly nonlinear 2d infinite depth water waves, there are no 3-wave interactions and all of the 4-wave interaction coefficients vanish on the non-trivial resonant manifold...

Apr
06
2022

Special Number Theory Seminar

On the distribution of the Hodge locus
Emmanuel Ullmo
3:00pm|Simonyi Hall 101

The lecture will discuss a joint work with Gregorio Baldi and Bruno Klingler.  Given a polarized Z-VHS over a complex, smooth quasi-projective variety S, we describe some properties of the Hodge locus, a countable union of algebraic subvarieties of...

Apr
06
2022

Workshop on Recent developments in incompressible fluid dynamics

On the sticky particle solutions to the pressureless Euler system in general dimension
Sara Daneri
10:30am

Abstract: In this talk we consider the pressureless Euler system in dimension greater than or equal to two. Several works have been devoted to the search of solutions which satisfy the following adhesion or sticky particle principle: if two...

Apr
06
2022

Workshop on Recent developments in incompressible fluid dynamics

Generic global existence for the modified SQG equation
Javier Gomez-Serrano
9:00am|Simonyi 101 and Remote Access

Abstract: In this talk we will present a construction of global existence of small solutions of the modified SQG equations, close to the disk. The proof uses KAM theory and a Nash-Moser argument, and does not involve any external parameters. We...