Events for 03/29/2019 from all calendars
Working Seminar on Quantum Groups
Time: 10:30AM - 12:00PM
Location: BLOC 624
Speaker: John Weeks, TAMU
Title: The Hopf *-algebra of a compact quantum group
Probability Seminar
Time: 11:00AM - 12:00PM
Location: BLOC 628
Speaker: Wei-Kuo Chen, University of Minnesota
Title: Phase Transition in the Spiked Gaussian Tensor Models
Abstract: The problem of detecting a deformation in a symmetric Gaussian random tensor is concerned about whether there exists a statistical hypothesis test that can reliably distinguish a low-rank random spike from the noise. In this talk, we will consider the spikes sampled from bounded priors. We will show that there exist critical thresholds for the signal-to-noise ratios, which strictly separate the distinguishability and indistinguishability between the non-spiked and spiked Gaussian random tensors under the total variation distance. Our approach is based on a subtle analysis of the high temperature behavior of the pure p-spin model, arising initially from the field of spin glasses. In particular, the signal-to-noise criticality is identified as the critical temperature, distinguishing the high and low temperature behavior, of the pure p-spin model.
Algebra and Combinatorics Seminar
Time: 3:00PM - 3:50PM
Location: BLOC 628
Speaker: Ayo Adeniran, TAMU
Title: Combinatorial Theory of Goncarov polynomials
Abstract: The concept of Exponential families deals with the question of counting structures which are built out of connected pieces. Polynomials of binomial type are sequences of polynomials which obey a binomial-type relation. These types of polynomials are well studied and they show up in the enumeration of exponential families. On the other hand, Goncarov polynomials arise in interpolation theory and this concept was generalized by the work of Lorentz, Tringali and Yan(2018). Given any binomial-type sequence associated with an exponential family, there is a unique Goncarov polynomial sequence associated with this family. It turns out that this Goncarov sequence helps serve as a basis for counting u-parking functions. This is joint work with Catherine Yan.
Geometry Seminar
Time: 4:00PM - 5:00PM
Location: BLOC 628
Speaker: Shilin Yu, TAMU
Title: Deformation quantization of coadjoint orbits
Abstract: The coadjoint orbit method/philosophy suggests that irreducible unitary representations of a Lie group can be constructed as quantization of coadjoint orbits of the group. I will propose a geometric way to understand orbit method using deformation quantization, in the case of noncompact real Lie groups. This approach combines recent studies on quantization of symplectic singularities and their Lagrangian subvarieties. This is joint work with Conan Leung.