Previous Conferences & Workshops

Apr
12
2023

Mathematical Conversations

William Thomson, Oliver Heaviside and the Transatlantic Cable
6:00pm|Rubenstein Commons | Meeting Room 5

As telegraph lines proliferated through Europe and North America in the 1850s, plans were drawn up for a transatlantic telegraph cable.  Extended telegraph lines were modelled by William Thomson (Lord Kelvin), who showed that a transatlantic cable...

Apr
12
2023

Analysis and Mathematical Physics

Generalized Entropy Methods and Stability in Sobolev and Related Inequalities
Jean Dolbeault
3:00pm|Simonyi Hall 101 and Remote Access

This lecture is devoted to a survey on explicit stability results in Gagliardo-Nirenberg-Sobolev and logarithmic Sobolev inequalities. Generalized entropy methods based on carré du champ computations and nonlinear diffusion flows can be used for...

Apr
11
2023

Special Year Research Seminar

The Factorial Function and Generalizations, Revisited.
3:30pm|Simonyi 101 and Remote Access

In 1996 Manjul Barghava introduced a notion of P-orderings for arbitrary sets S of a Dedekind domain, with respect to a prime ideal P, which defined associated invariants called P-sequences. He combined these invariants to define generalized...

Apr
11
2023

Computer Science/Discrete Mathematics Seminar II

Updates on the Lipschitz Extension Problem
10:30am|Simonyi Hall 101 and Remote Access

The Lipschitz extension problem is the following basic “meta question” in metric geometry:  Suppose that X and Y are metric spaces and A is a subset of X. What is the smallest K such that every Lipschitz function f:A\to Y has an extension F:X\to Y...

Apr
10
2023

IAS/Princeton Arithmetic Geometry Seminar

Around Logarithmic Prismatic Chomology
Teruhisa Koshikawa
4:30pm|Simonyi Hall 101 and Remote Access

I will recall my approach to log prismatic cohomology and discuss some results on them (partly joint with Zijian Yao). I will also try to offer a stacky perspective.

Apr
10
2023

Members' Colloquium

Cohomology and arithmetic of some mapping spaces
2:00pm|Simonyi Hall 101 and Remote Access - see Zoom link below

How do we describe the topology of the space of all nonconstant holomorphic (respectively, algebraic) maps F: X--->Y  from one complex manifold (respectively, variety) to another? What is, for example, its cohomology? Such problems are old but...

Apr
10
2023

Computer Science/Discrete Mathematics Seminar I

Quantum Error Correction, Systolic Geometry, and Probabilistic Embeddings
Elia Portnoy
11:15am|Simonyi 101 and Remote Access

A CSS quantum code $\mathcal{C} = (W_1, W_2)$ is a pair of orthogonal subspaces in $\mathbb{F}_2^n$. The distance of $\mathcal{C}$ is the smallest hamming weight of a vector in $W_1^{\perp}-W_2$ or $W_2^{\perp}-W_1$. A large distance roughly means...