Events for 12/04/2019 from all calendars
Student Working Seminar in Groups and Dynamics
Time: 1:00PM - 2:00PM
Location: BLOC 628
Speaker: James O'Quinn
Title: The Furstenberg-Zimmer structure theorem and a proof of Szemerédi's theorem
Abstract: The Furstenberg-Zimmer structure theorem is a way to partially recover the dichotomy between weak mixing and compact vectors inherent in the study of unitary representations of groups into the p.m.p. action setting. During this talk, I will prove one version of the Furstenberg-Zimmer theorem using some measure theoretic techniques, and then show how Szemerédi's theorem follows from this result.
Number Theory Seminar
Time: 1:45PM - 2:45PM
Location: BLOC 220
Speaker: Guchao Zeng, Texas A&M University at Qatar
Title: Modular Equations and Traces of Singular Moduli over Function Fields
Abstract: In this talk, I will introduce the modular polynomials as well as the relation between j-invariants and class polynomials in classical number fields. And then I will give the corresponding theorem in function fields and derive the equation giving value to the trace of the class polynomial, which is a summation of a few j-invariants. This work is joint with A. El-Guindy, R. Masri and M. Papanikolas.
Noncommutative Geometry Seminar
Time: 2:00PM - 3:00PM
Location: BLOC 628
Speaker: Mizanur Rahaman, Institute for Quantum Computing / University of Waterloo
Title: Bisynchronous Games and Factorizable Maps
Abstract: In the theory of non-local games, the graph isomorphism game stands out to be an intriguing one. Specially when the algebra of this game is considered. This is because this game establishes a close connection between the algebra of the game and the theory of quantum permutation groups. It turns out that the graph isomorphism game is an example of a bisynchronous game. In this talk, I will introduce these games and the corresponding correlations arising from the perfect strategies for such games. Moreover, when the number of inputs is equal to the number of outputs, each bisynchronous correlation gives rise to a completely positive map which will be shown to be factorizable in the sense of Haagerup-Musat. This is a joint work with Vern Paulsen.
Linear Analysis Seminar
Time: 2:00PM - 3:00PM
Location: BLOC 628
Speaker: Miza Rahaman, University of Waterlooo
Title: Bisynchronous Games and Factorizable Maps
Abstract: In the theory of non-local games, the graph isomorphism game stands out to be an intriguing one. Specially when the algebra of this game is considered. This is because this game establishes a close connection between the algebra of the game and the theory of quantum permutation groups. It turns out that the graph isomorphism game is an example of a bisynchronous game. In this talk, I will introduce these games and the corresponding correlations arising from the perfect strategies for such games. Moreover, when the number of inputs is equal to the number of outputs, each bisynchronous correlation gives rise to a completely positive map which will be shown to be factorizable in the sense of Haagerup- Musat. This is a joint work with Vern Paulsen.
Working Seminar in Orbit Equivalence and Measured Group Theory
Time: 3:00PM - 4:00PM
Location: BLOC 605AX
Speaker: Konrad Wrobel
Title: Integrable Orbit Equivalence Rigidity for Free Groups
Abstract: We will discuss a result of Lewis Bowen that shows if an accessible group is $L^1$-orbit equivalent to a free group, then it is virtually free.