Previous Conferences & Workshops

Mar
02
2022

Mathematical Conversations

Crooked geometry: Crystallography in the geometry of (2+1)-special relativity
William Goldman
6:00pm|Birch Garden, Simons Hall

Bieberbach's 1912 theory of Euclidean crystallographic groups provides a satisfying qualitative classification of flat Riemannian manifolds. In 1977 Milnor asked whether a similar picture could extend to flat affine manifolds, that is, when the...

Mar
02
2022

Mathematical Physics Seminar

Bounds on Maass spectra from holomorphic forms
Dalimil Mazac
4:30pm|Simonyi Hall 101 and Remote Access

I will discuss new constraints on the spectra of Maass forms on compact hyperbolic 2-orbifolds. The constraints arise from integrals of products of four functions in discrete series representations realized in $L^2(\Gamma\backslash G)$, where $...

Mar
02
2022

Topics in Geometry

Quantitative Heegaard Floer cohomology and the Calabi invariant [CGHMSS] Part IV: Existence of the spectral invariant
Agustin Moreno
2:00pm|Simonyi Hall 101 and Remote Access
Mar
02
2022

Arithmetic Groups

Effective equidistribution of some one-parameter unipotent flows with polynomial rates I & II
Amir Mohammadi and Zhiren Wang
11:00am|Simonyi 101 and Remote Access

A landmark result of Ratner states that if $G$ is a Lie group, $\Gamma$ a lattice in $G$ and if $u_t$ is a one-parameter $Ad$-unipotent subgroup of $G$, then for any $x \in G/\Gamma$ the orbit $u_t.x$ is equidistributed in a periodic orbit of some...

Mar
01
2022

Seminar in Analysis and Geometry

Weak solutions to MHD equations
Daniel Faraco
2:00pm|Simonyi Hall 101 and Remote Access

The talk will be devoted to explain how to construct weak solutions to 3D Ideal MHD equations obtained by convex integration (in the non smooth regime). We will show the existence of bounded weak solutions dissipating energy and cross helicity but...

Mar
01
2022

Computer Science/Discrete Mathematics Seminar II

Non-Black-Box Derandomization
Roei Tell
10:30am|Simonyi Hall 101 and Remote Access

This is the third and final talk in the joint series with Lijie Chen. The talk will NOT rely on the technical contents from the two previous talks.

I will present a joint work with Lijie, in which we revise the hardness vs randomness framework so...

Feb
28
2022

Joint IAS/Princeton University Symplectic Geometry Seminar

Symplectic geometry of surface group representations
William Goldman
4:00pm

If G is a Lie group whose adjoint representation preserves a nondegenerate symmetric bilinear form on its Lie algebra (e.g. a semisimple group) and F is the fundamental group of a closed oriented surface S, then the spaces of equivalence classes of...

Feb
28
2022

Members' Colloquium

A Gentle Approach to Crystalline Cohomology
Jacob Lurie
2:00pm|Simonyi Hall 101 and Remote Access

Let X be a smooth affine algebraic variety over the field C of complex numbers (that is, a smooth submanifold of C^n which can be described as the solutions to a system of polynomial equations). Grothendieck showed that the de Rham cohomology of X...

Feb
28
2022

Computer Science/Discrete Mathematics Seminar I

Refuting Smoothed k-SAT Formulas and a Proof of Feige's Conjecture
Pravesh Kothari
11:15am|Simonyi 101 and Remote Access

I'll present a new algorithm to refute, that is, efficiently find certificates of unsatisfiability, for smoothed instances of k-SAT and other CSPs. Smoothed instances are produced by starting with a worst-case instance and flipping each literal in...