Previous Conferences & Workshops

Mar
09
2020

Analysis Seminar

Higher order rectifiability and Reifenberg parametrizations
5:00pm|Simonyi Hall 101

We provide geometric sufficient conditions for Reifenberg flat sets of any integer dimension in Euclidean space to be parametrized by a Lipschitz map with Hölder derivatives. The conditions use a Jones type square function and all statements are...

Mar
09
2020

Symplectic Dynamics/Geometry Seminar

Packing and squeezing Lagrangian tori
3:30pm|Simonyi Hall 101

We will ask how many Lagrangian tori, say with an integral area class, can be `packed' into a given symplectic manifold. Similarly, given an arrangement of such tori, like the integral product tori in Euclidean space, one can ask about the...

Mar
09
2020

Members’ Seminar

Towards a mathematical model of the brain
2:00pm|Simonyi Hall 101

Striving to make contact with mathematics and to be consistent with neuroanatomy at the same time, I propose an idealized picture of the cerebral cortex consisting of a hierarchical network of brain regions each further subdivided into...

Mar
09
2020

Computer Science/Discrete Mathematics Seminar I

Learning from Censored and Dependent Data
Constantinos Daskalakis
11:00am|Simonyi Hall 101

 

Machine Learning is invaluable for extracting insights from large volumes of data. A key assumption enabling many methods, however, is having access to training data comprising independent observations from the entire distribution of relevant...

Mar
05
2020

Joint IAS/Princeton University Number Theory Seminar

Euler system, Eisenstein congruences and the p-adic Langlands correspondence
Eric Urban
4:30pm|Princeton University, Fine Hall 214

I will discuss how the use of the p-adic Langlands correspondence for GL_2(Q_p) allows to study Eisenstein congruences of various weight, level and slopes in order to construct Euler systems. I will discuss the GL(2)-case with some details and give...

Mar
05
2020

Theoretical Machine Learning Seminar

Understanding Deep Neural Networks: From Generalization to Interpretability
Gitta Kutyniok
12:00pm|Dilworth Room

Deep neural networks have recently seen an impressive comeback with applications both in the public sector and the sciences. However, despite their outstanding success, a comprehensive theoretical foundation of deep neural networks is still missing...

Mar
04
2020

Mathematical Conversations

Rationality of algebraic varieties
6:00pm|Dilworth Room

I will survey what is known about the rationality of algebraic varieties, including recent progress and open questions. There will be a surprising connection to whiskey.