Previous Conferences & Workshops

Apr
28
2025

DeepMind Math+AI Workshop

9:00am

Sponsored by the Theoretical in Machine Learning Fund. 

The DeepMind Math+AI Workshop was held at the Institute for Advanced Study in Princeton, NJ the week of April 28-May 2, 2025. 

*This workshop was by invitation only for non-IAS affiliates*

Organiz...

Apr
25
2025

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

Integrable systems and toric contact forms on $\mathbb{RP}^3$
Vinicius Ramos
9:15am|Remote Access

It is well-known that the geodesic flow on ellipsoids of revolution is integrable. In joint work with Ferreira and Vicente, we used this fact to obtain a symplectomorphism between the unit disk bundle of such an ellipsoid without fiber and a toric...

Apr
24
2025

Joint PU/IAS Number Theory

Faltings Heights and the Sub-Leading Terms of Adjoint L-Functions
Wei Zhang
3:30pm|*Princeton University, Fine 214*

The Kronecker limit formula is an equality relating the Faltings height of an CM elliptic curve to the sub-leading term (at s=0) of the Dirichlet L-function of an imaginary quadratic character. Colmez conjectured a generalization relating the...

Apr
24
2025

What is...?

What is... the Chirotropical Grassmannian?
Dario Antolini
1:00pm|Simonyi Classroom (S-114)

The tropical Grassmannian Trop G(2,n) and its positive part are combinatorial objects revealing fascinating connections between tropical geometry and particle physics. In particular, they play a relevant role in the CHY integral formulation of...

Apr
24
2025

Special Year Seminar II

Total Positivity and Real Schubert Calculus
Steven Karp
10:00am|Simonyi 101

In part 1, I will survey the history of total positivity, beginning in the 1930's with the introduction of totally positive matrices, which turn out to have surprising linear-algebraic and combinatorial properties. I will discuss some modern...

Apr
23
2025

Special Year Seminar I

Geometry and Integrability of Hamiltonian and Gradient Flows
Anthony Bloch
2:00pm|Simonyi 101

In this talk I will discuss various connections between the dynamics of integrable Hamiltonian flows, gradient flows, and combinatorial geometry. A key system is the Toda lattice  which describes the dynamics of interacting particles on the line. I...

Apr
22
2025

Joint IAS/PU Groups and Dynamics Seminar

Monotonicity of Data Along Ricci Flow on Surfaces
Alena Erchenko
4:30pm|Simonyi 101

Consider a closed surface M of genus greater than or equal to 2. For negatively curved metrics on M and their corresponding geodesic flow, we can study the topological entropy, the Liouville entropy, and the mean root curvature. In 2004, Manning...