MenuEvents for 02/03/2017 from all calendars
Mathematical Physics and Harmonic Analysis Seminar
Time: 1:50PM - 2:50PM
Location: BLOC 220
Speaker: Prof. Vitaly Kocharovsky, Texas A&M, Physics
Title: Permanents of circulant and degenerate Schur matrices for the solution to 3D Ising model
Abstract: The goal of this talk is to discuss an open fundamental problem of finding the asymptotics of the permanent of circulant matrix. A solution to this mathematical problem would be tremendously important for physics of many-body systems and critical phenomena, as well as for quantum field theory. We present three exact formulas for the permanents of circulant and degenerate Schur matrices. These combinatorial and integral formulas are intended for the analytical and asymptotic evaluation of the circulant-matrix permanents needed for the solution to 3D Ising model. References 1.V.V. Kocharovsky, Vl.V. Kocharovsky, Exact general solution to the three-dimensional Ising model and a self-consistency equation for the nearest-neighbors' correlations, arXiv:cond-mat.stat-mech/1510.07327v3 24Mar2016. 2.V.V. Kocharovsky, Vl.V. Kocharovsky, Microscopic theory of phase transitions in a critical region, Physica Scripta 90, 108002 (2015). 3.V.V. Kocharovsky, Vl.V. Kocharovsky, Towards an exact solution for the three-dimensional Ising model: A method of the recurrence equations for partial contractions, Phys. Lett. A 379, 2520 (2015). 4.V.V. Kocharovsky, Vl.V. Kocharovsky, Microscopic theory of a phase transition in a critical region: Bose-Einstein condensation in an interacting gas, Phys. Lett. A 379, 466 (2015). 5.V.V. Kocharovsky, Vl.V. Kocharovsky, S.V. Tarasov, Bose-Einstein condensation in the mesoscopic systems: Self-similar structure of the critical region and nonequivalence of the canonical and grand canonical ensembles, JETP Letters, 103, 62-75 (2016).
Noncommutative Geometry Seminar
Time: 2:00PM - 2:50PM
Location: BLOC 605AX
Speaker: Alexander Engel, Texas A&M University
Title: Strong Novikov conjecture and combinatorics of groups II
Abstract: We will discuss the analytics part of the proof of the strong Novikov conjecture for polynomially contractible groups. This talk does not assume that you have attended the previous talk.
Seminar on Banach and Metric Space Geometry
Time: 3:00PM - 4:00PM
Location: BLOC 220
Speaker: Przemyslaw Wojtaszczyk, University of Warsaw
Title: Conditionality constants of quasi-greedy bases
Abstract: For a conditional quasi-greedy basis B in a Banach space the associated conditionality constants km[B] verify the estimate km[B]=O(logm). Answering a question raised by Temlyakov, Yang, and Ye, several authors have studied whether this bound can be improved when we consider quasi-greedy bases in some special class of spaces. It is known that every quasi-greedy basis in a superreflexive Banach space verifies km[B]=(logm)1-ϵ for some 0<ϵ<1, and this is optimal. Our first goal in this paper will be to fill the gap in between the general case and the superreflexive case and investigate the growth of the conditionality constants in non-superreflexive spaces. Roughly speaking, the moral will be that we can guarantee optimal bounds only for quasi-greedy bases in superreflexive spaces. Joint work with F.Albiac and Jose L. Ansorena.
Algebra and Combinatorics Seminar
Time: 3:00PM - 3:50PM
Location: BLOC 628
Speaker: Li Ying, Texas A&M University
Title: Stability of the Heisenberg Product on Symmetric Functions.
Abstract: The Heisenberg product is an associative product defined on symmetric functions which interpolates between the usual product and Kronecker product. I will give the definition of this product and describe some properties of it. One well known thing about the Kronecker product of Schur functions is the stability phenomenon discovered by Murnaghan in 1938. I will give an analogous result for the Heisenberg product of Schur functions.
