Events for 02/23/2018 from all calendars

Workshop on computability of K-theory for C*-algebra

Time: 08:30AM - 6:00PM

Location: BLOC 220

Description: Workshop on computability of K-theory for C*-algebra

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Workshop Schedule

Noncommutative Geometry Seminar

Time: 09:00AM - 6:00PM

Title: Workshop on computability Of K-theory for C*-algebra

URL: Event link

Newton-Okounkov Bodies

Time: 1:00PM - 2:30PM

Location: BLOC 624

Speaker: Taylor Brysiewicz, Texas A&M University

Title: Mixed volumes and Bernstein theorem

Mathematical Physics and Harmonic Analysis Seminar

Time: 1:50PM - 2:50PM

Location: BLOC 628

Speaker: George E. A. Matsas, Instituto de Fisica Teorica, Universidade Estadual Paulista

Title: Overview of the Unruh Effect for Mathematicians

Abstract: The Unruh effect is interesting to physicists and mathematicians. Unveiled by a physicist, Bill Unruh, in 1975, it vindicated Steve Fulling's surprising conclusion that different observers extract, in general, different particle contents from the same field theory (e.g., inertial observers in the usual vacuum would freeze to death at 0 K, where observers accelerated enough may burn into ashes). This seminar is designed for mathematicians who are not acquainted with quantum field theory but wish to understand what the Unruh effect means, up to what extent we must trust it, and why it is so important to our comprehension of some conceptual issues.

Algebra and Combinatorics Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Ka Ho Wong, Chinese University of Hong Kong

Title: Asymptotic expansion formula for the colored Jones polynomial and Turaev-Viro invariant for the figure eight knot

Abstract: The volume conjecture of the Turaev-Viro invariant is a new topic in quantum topology. It has been shown that the $(2N+1)$-th Turaev-Viro invariant for the knot complement $\SS^3 \backslash K$ can be expressed as a sum of the colored Jones polynomial of $K$ evaluated at $\exp(2\pi i/ (N+1/2))$. That leads to the study of the asymptotic expansion formula (AEF) for the colored Jones polynomial of $K$ evaluated at half-integer root of unity. When $K$ is the figure eight knot, by using saddle point approximation, H.Murakami had already found out the AEF for the $N$-th colored Jones polynomial of $K$ evaluated at $\exp(2\pi i/N)$. In this talk, I will first review the strategy Murakami used to prove the AEF of the colored Jones polynomial. Then, I will further discuss, for $M$ with a fixed limiting ratio of $M$ and $(N+1/2)$, how the AEF for the $M$-th colored Jones polynomial for the figure eight knot evaluated at $(N+1/2)$-th root of unity can be obtained. As an application of the asymptotic behavior of the colored Jones polynomials mentioned above, we obtain the asymptotic expansion formula for the Turaev-Viro invariant of the figure eight knot. Finally, we suggest a possible generalization of our approach so as to relate the AEF for the colored Jones polynomials and the AEF for the Turaev-Viro invariants for general hyperbolic knots.

Seminar on Banach and Metric Space Geometry

Time: 3:00PM - 4:00PM

Location: BLOC 624

Speaker: Mitchell Taylor, University of Alberta

Title: Schauder bases with order convergent partial sums

Abstract: The order structure of a Banach lattice gives rise to several natural convergences. In this talk we discuss basic sequences in Banach lattices whose partial sums converge not only in norm, but also in order. We show that this class of bases can be characterized by a natural modification of the standard basis inequality, and discuss some of the more unexpected corollaries. This is a joint project with V.G. Troitsky; the results extend and unify those from A. Gumenchuk, O. Karlova and M. Popov, Order Schauder bases in Banach lattices, J. Funct. Anal. (2015).