Colloquia & Seminars

Title: CMSA Q&A Seminar: James Eldred Pascoe, Drexel University

CMSA Q&A Seminar Speaker: James Eldred Pascoe, Drexel University Title: (What is) The tracial fundamental group and free universal monodromy? Abstract: We introduce the tracial fundamental group to classify the analytic continuation of functions that are locally behave like the trace of natural matrix valued functions. While globally defined natural matrix-valued functions (known as free noncommutative functions, which roughly locally are defined by noncommutative power series) satisfy universal monodromy, we show that these tracial free functions exhibit a rigid but nontrivial structure governed by the aforementioned group. We prove that the tracial fundamental group is always a torsion-free, divisible abelian group, standing in sharp contrast to the non-abelian fundamental groups of classical domains.

Title: ReLU and Softplus neural nets as zero-sum, turn-based, stopping games

New Technologies in Mathematics Seminar Speaker: Yiannis Vlassopoulos, Athena Research Center Title: ReLU and Softplus neural nets as zero-sum, turn-based, stopping games Abstract: Neural networks are for the most part treated as black boxes. In an effort to begin elucidating the mathematical structure they encode, we will explain how ReLU neural nets can be interpreted as zero-sum turn-based, stopping games. The game runs in the opposite direction to the net. The input to the net is the terminal reward of the game, the output of the net is the value of the game at its initial states. The bias at each neuron is used to define the reward and the weights are used to define state-transition probabilities. One player...

Title: Differential Geometry and Physics Seminar

Differential Geometry and Physics Seminar Speaker: Gabor Szekelyhidi, Northwestern University

Title: Algebra Seminar

Algebra Seminar  

Title: Member Seminar

Member Seminar Speaker: Lorenzo Riva

Title: Quantum Field Theory and Physical Mathematics Seminar

Quantum Field Theory and Physical Mathematics Seminar Speaker: Shaoyun Bai, Massachusetts Institute of Technology

Title: Geometry and Quantum Theory Seminar

Geometry and Quantum Theory Seminar

Title: CMSA Q&A Seminar

CMSA Q&A Seminar Details TBA

Title: Differential Geometry and Physics Seminar

Differential Geometry and Physics Seminar Speaker: Greg Moore, Rutgers University

Title: Algebra Seminar

Algebra Seminar  

Title: Member Seminar

Member Seminar Speaker: Blake Bordelon

Title: Quantum Field Theory and Physical Mathematics Seminar

Quantum Field Theory and Physical Mathematics Seminar Speaker: tba

Title: Colloquium

Colloquium Speaker: Mikhail Khovanov, Johns Hopkins University

Title: Geometry and Quantum Theory Seminar

Geometry and Quantum Theory Seminar

Title: CMSA Q&A Seminar

CMSA Q&A Seminar Details TBA