Previous Conferences & Workshops

Feb
15
2024

Joint PU/IAS Number Theory

A P-Adic Analogue of a Theorem of Narasimhan and Seshadri
Fabrizio Andreatta
4:30pm|*Princeton University, Fine 214*

Given a compact Riemann surface, a classical theorem of of Narasimhan and Seshadri characterize vector bundles arising from unitary representations of the fundamental group as the polystable vector bundles of degree 0. Given a projective curve with...

Feb
14
2024

Mathematical Conversations

Ergodic Theory Beyond Birkhoff's Theorem
6:00pm|Birch Garden, Simons Hall

The classical Birkhoff individual ergodic theorem states that in the presence of an ergodic invariant measure, almost every orbit is uniformly distributed with respect to the measure. For many applications (in particular to number theory), it is...

Feb
14
2024

Special Year Seminar

Motivic Cohomology of Mixed Characteristic Schemes
Tess Bouis
2:00pm|Simonyi 101 and Remote Access

I will present a new theory of motivic cohomology for general (qcqs) schemes. It is related to non-connective algebraic K-theory via an Atiyah-Hirzebruch spectral sequence. In particular, it is non-$A^1$-invariant in general, but it recovers...

Feb
13
2024

Computer Science/Discrete Mathematics Seminar II

Reconstruction on Trees and Hypertrees
10:30am|Simonyi Hall 101 and Remote Access

Consider the process where a signal propagates downward an infinite rooted tree. On every edge some independent noise is applied to the signal. The reconstruction problem asks whether it is possible to reconstruct the original signal given...

Feb
12
2024

Members' Colloquium

Conservation Laws, Traffic and Autonomy
Benedetto Piccoli
2:00pm|Simonyi 101 and Remote Access

The problem of control of large multi-agent systems, such as vehicular traffic, poses many challenges both for the development of mathematical models and their analysis and the application to real systems. First, we discuss how conservation laws can...

Feb
12
2024

Symplectic Geometry Seminar

Gromov-WItten Invariants of Riemann-Finsler Manifolds
12:30pm|Simonyi 101 and Remote Access

I will give a construction of certain Q-valued deformation invariants of (in particular) complete non-positively curved Riemannian manifolds. These are obtained as certain elliptic Gromov-Witten curve counts. As one immediate application we give the...

Feb
12
2024

Computer Science/Discrete Mathematics Seminar I

Advances in Parallel and Private Stochastic Optimization from Ball Acceleration
Kevin Tian
11:00am|Simonyi 101 and Remote Access

Consider an oracle which takes a point $x$ and returns the minimizer of a convex function $f$ in an $\ell_2$ ball of radius $r$ around $x$. While it is straightforward to show that $\approx r^{-1}$ queries to this oracle suffice to minimize $f$ to...

Feb
09
2024

Analysis and Mathematical Physics

Existence of Four Minimal Spheres in S^3 with a Bumpy Metric
2:30pm|Simonyi Hall 101 and Remote Access

In 1982, S. T. Yau conjectured that there exists at least four embedded minimal 2-spheres in the 3-sphere with an arbitrary metric. In this talk, we will show that this conjecture holds true for bumpy metrics and metrics with positive Ricci...