Previous Conferences & Workshops

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

Condensed Learning Seminar

Dualizable Categories
2:30pm|Princeton University, Fine Hall 314

Introduce the notion of stable compactly generated $\infty$-category and discuss its properties and some examples. In particular, prove that the $\infty$-category of small idempotent complete stable $\infty$-categories is equivalent to the $\infty$...

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...

Feb
09
2024

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Extensible Positive Loops and Vanishing of Symplectic Cohomology
Dylan Cant
9:15am|Remote Access

I will discuss the relationship between positive loops of contactomorphisms of a fillable contact manifold and the symplectic cohomology (SH) of the filling. The main result is that the existence of a positive loop which is "extensible" implies SH...

Feb
08
2024

Joint PU/IAS Number Theory

A Pair Correlation Surface Associated to the Zeros of the Riemann Zeta Function
Alexandru Zaharescu
4:30pm|Simonyi 101 and Remote Access

We discover a surface related to the pair correlation of zeros of the Riemann zeta function. We make a conjecture on the shape of the surface and present partial results and numerical evidence towards the conjecture. This is joint work with Debmalya...