Previous Conferences & Workshops

Feb
23
2024

Condensed Learning Seminar

Animated Analytic Rings
2:30pm|Princeton University, Fine Hall 314

Recall the notion of condensed analytic ring, then introduce its animated variant and discuss its properties. Explain the construction of induced analytic structures on animated condensed rings. Introduce the notion of steady maps of analytic rings...

Feb
23
2024

Analysis and Mathematical Physics

Chaos in Lattice Spin Glasses and Some Questions for Analysts
2:30pm|Simonyi Hall 101 and Remote Access

In spite of tremendous progress in the mean-field theory of spin glasses in the last forty years, culminating in Giorgio Parisi’s Nobel Prize in 2021, the more “realistic” short-range spin glass models have remained almost completely intractable. In...

Feb
23
2024

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

Floer-Theoretic Corrections to the Geometry of Moduli Spaces of Lagrangian Tori
Denis Auroux
9:15am|Remote Access

Given a Lagrangian torus fibration on the complement of an anticanonical divisor in a Kahler manifold, one usually constructs a mirror space by gluing local charts (moduli spaces of objects of the Fukaya category supported on generic torus fibers)...

Feb
22
2024

Joint PU/IAS Number Theory

On Eisenstein’s Jugendtraum for Complex Cubic Fields
Pierre Charollois
4:30pm|Simonyi 101 and Remote Access

In the early 2000’s Ruijsenaars and Felder-Varchenko have introduced the elliptic gamma function, a remarkable multivariable meromorphic q-series that comes from mathematical physics. It satisfies modular functional equations under the group SL3(Z)...

Feb
21
2024

Special Year Seminar

Crystals and $q$-Calculus
2:00pm|Simonyi 101 and Remote Access

I will present two settings where $q$-De Rham and prismatic vector bundles can be described in terms of modules over an appropriate ring of $q$-twisted differential operators and also the relation with former results. 

This is a joint work with...

Feb
20
2024

Computer Science/Discrete Mathematics Seminar II

Analyzing the Max Entropy Algorithm for TSP
10:30am|Simonyi Hall 101 and Remote Access

I will discuss recent progress on approximating the metric traveling salesperson problem, focusing on a line of work beginning in 2011 that studies the behavior of the max entropy algorithm. This algorithm is a randomized variant of the beautiful...

Feb
19
2024

Joint IAS/Princeton Arithmetic Geometry Seminar

Witt-Differential Operators
Christopher Dodd
3:30pm|Simonyi Hall 101

We describe a new theory of sheaves of rings of differential operators on the Witt-vectors on a smooth scheme characteristic p. Roughly speaking, these sheaves are to the de Rham-Witt complex as the usual sheaf of differential operators is to the de...