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Number Theory & Combinatorics Seminar

Topic:  Vertex operator algebras on modular curves

Date:  Monday, March 16

Time:  12:15 - 1:15 pm in M1060

Vertex operator algebras (VOAs) are algebraic objects that arose in the study of infinite dimensional lie algebras, mathematical physics, and in the classification of finite simple groups. These days they are understood to give rise to vector bundles on moduli spaces of algebraic curves that are useful in a variety of areas of mathematics and physics. In number theory one frequently encounters them via their incarnation on modular curves. In this talk we will recall background on VOAs and modular forms, and we will give a concrete description of the corresponding VOA bundles in terms of modular forms. We will also describe their connection with quasi-modular forms, which arises naturally from the VOA structure.

EVERYONE IS WELCOME! 

Organizers: Emily Quesada-Herrera, Habiba Kadiri 

Visit the seminar web page at ∼n²¹³Ù³ó²¹²Ô²Ô²µ/²Ô³Ù³¦´Ç²õ±ð³¾¾±²Ô²¹°ù/&²Ô²ú²õ±è;

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PIMS DISTINGUISHED SPEAKER

Silvana Pesenti 

Ãâ·Ñ¸£Àû×ÊÔ´ÔÚÏß¿´Æ¬ of Toronto

TOPIC: Projections and Baycentre of Process

Friday, March 20

12:00 - 1:00  pm in SA6012

Abstract: This talk presents approaches for combining probabilistic models of stochastic processes through the projection of models onto constraint sets. We investigate the problem of an agent seeking a probability measure that best reconciles multiple expert models while satisfying certain constraints. The optimal model is the one that minimizes the Kulback-Leibler projected onto the constraint set. We provide explicit characterizations of the optimal models and develop deep learning algorithms to simulate under the combined model.

EVERYONE IS WELCOME! SNACKS PROVIDED!

Organizers: Corina Birghila, Nathan Ng
 Visit the seminar web page at /artsci/math-computer-science/pims-distinguished-speakers