Previous Conferences & Workshops

Dec
01
2021

Arithmetic Groups

Applications to modular forms and noncongruence arithmetic groups
Yunqing Tang and Frank Calegari
11:00am|Simonyi 101 and Remote Access

We explain our proof of the unbounded denominators conjecture. This talk will require the main theorem of the lecture on Nov. 17, 2021, as a “black box” but otherwise be logically independent of that talk.

Dec
01
2021

Character Varieties, Dynamics and Arithmetic

Integral points on character varieties
Junho Peter Whang
10:00am|Simonyi Hall 101 and Remote Access
In this talk, we discuss the Diophantine study of relative SL2-character varieties of surfaces. In particular, we prove that the integral points on these varieties are effectively finitely generated in a precise sense, and in particular their...
Nov
30
2021

Seminar in Analysis and Geometry

h-principle without pre-conditions for ridgy Lagrangians transverse to a distribution
Yakov Eliashberg
2:00pm|Simonyi Hall 101 and Remote Access

I will explain a proof of a joint with D. Alvarez-Gavela and D. Nadler theorem which allows to make a Lagrangian submanifold transverse to a given Lagrangian distribution in exchange for making them piecewise smooth with canonical singularities...

Nov
29
2021

Joint IAS/Princeton University Symplectic Geometry Seminar

Morse-Bott theory on singular analytic spaces and applications to the topology of symplectic four-manifolds
Paul Feehan
4:00pm|Simonyi Hall 101

We describe two extensions, called the virtual Morse-Bott index and circle-equivariant virtual Morse-Bott index, of the classical Morse-Bott index of a Morse-Bott function on a smooth manifold to the setting of (a) suitably defined analytic...

Nov
29
2021

Members' Colloquium

Fluid equations: regularity and Kolmogorov’s turbulence theory
Mimi Dai
2:00pm|Simonyi Hall 101 and Remote Access

The regularity theory for the Navier-Stokes equation will be reviewed. Motivations from Kolmogorov’s phenomenological theory of turbulence will be discussed. Rigorous mathematical results are obtained to confirm some of the phenomenologies.