Previous Conferences & Workshops

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

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...

Feb
07
2024

Special Year Seminar

Dieudonné Theory via Prismatic F-gauges
2:00pm|Simonyi 101 and Remote Access

In this talk, I will first describe how classical Dieudonne module of finite flat group schemes and $p$-divisible groups can be recovered from crystalline cohomology of classifying stacks. Then, I will explain how in mixed characteristics, using...

Feb
06
2024

Ruth and Irving Adler Expository Lecture in Mathematics

Pure Mathematics As Applied Physics
Tadashi Tokieda
2:00pm|Simonyi 101 and Remote Access

Humans tend to be better at physics than at mathematics.  After all, when an apple falls from a tree, there are more people who can catch it—they know physically how the apple moves—than people who can compute its trajectory from a differential...

Feb
06
2024

Computer Science/Discrete Mathematics Seminar II

An Exponential Lower bound on Three Query, Linear Locally Correctable Codes
10:30am|Simonyi Hall 101 and Remote Access

I will prove that the block length of every linear 3-query Locally Correctable Code (LCC) with a constant distance over any small field grows exponentially with k, the dimension of the code. This result gives the first separation between LCCs and...

Feb
05
2024

Joint IAS/Princeton Arithmetic Geometry Seminar

Truncated (G,mu)-displays and Conjectures of Drinfeld
Keerthi Madapusi
3:30pm|Fine 322, Princeton University

We report on proofs of some recent conjectures of Drinfeld on the algebraicity of formal stacks associated with minuscule cocharacters of smooth group schemes over Z_p. These stacks are constructed using the theory of syntomification as developed by...

Feb
05
2024

Members' Colloquium

Dynamical Asymmetry Is $C^1$-Typical
Amie Wilkinson
2:00pm|Simonyi 101 and Remote Access

Abstract: I will discuss a result with Bonatti and Crovisier from 2009 showing that the $C^1$ generic diffeomorphism f of a closed manifold has trivial centralizer; i.e. fg = gf implies that g is a power of f. I’ll discuss features of the $C^1$...

Feb
05
2024

Symplectic Geometry Seminar

Augmentation Varieties and Disk Potential
Soham Chanda
12:30pm|Simonyi 101 and Remote Access

Dimitroglou-Rizell-Golovko constructs a family of Legendrians in prequantization bundles by taking lifts of monotone Lagrangians. These lifted Legendrians have a Morse-Bott family of Reeb chords. We construct a version of Legendrian Contact Homology...