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Texas A&M University

Events for 02/17/2020 from all calendars

Geometry Seminar

iCal  iCal

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Da Rong Cheng, University of Chicago

Title: Bubble tree convergence of cross product preserving maps

Abstract: We study a class of weakly conformal 3-harmonic maps, called Smith maps, which parametrize associative 3-folds in 7-manifolds equipped with G2-structures. These maps satisfy a first-order system of PDEs generalizing the Cauchy-Riemann equation for J-holomorphic curves, and we are interested in their bubbling phenomena. Specifically, we first prove an epsilon-regularity theorem for Smith maps in W^{1, 3}, and then explain how that combines with conformal invariance to yield bubble trees of Smith maps from sequences of such maps with uniformly bounded 3-energy. When the G2-structure is closed, we show that both 3-energy and homotopy are preserved in the bubble tree limit. The result can be viewed as an associative analogue of the bubble tree convergence theorem for J-holomorphic curves. This is joint work with Spiro Karigiannis and Jesse Madnick.

Student Working Seminar in Groups and Dynamics

iCal  iCal

Time: 3:00PM - 4:00PM

Location: BLOC 111

Speaker: Arman Darbinyan

Title: Lacunary hyperbolicity and algorithmic problems in groups

Abstract: Lacunary hyperbolicity was introduced by Osin, Olshanskii and Sapir as a natural generalization of hyperbolicity from the class of finitely presented groups to the class of finitely generated groups. I will discuss the concept of lacunary hyperbolicity and opulent behavior of classical group theoretical algorithmic problems in that class.

Working Seminar on Quantum Computation and Quantum Information

iCal  iCal

Time: 3:30PM - 4:30PM

Location: BLOC 506A

Speaker: Kari Eifler, TAMU MATH

Title: Introduction to Topological Quantum Computation

Students Working Seminar in Number Theory

iCal  iCal

Time: 4:00PM - 5:00PM

Location: Bloc605ax

Speaker: Erik Davis, Texas A&M University

Title: An Elementary Proof of Bertrand's Postulate

Abstract: In 1845, Bertrand conjectured that for every natural number n beyond 1, there exists a prime between n and 2n. Bertrand was not able to prove this conjecture but had verified the truth of the statement for each n up to 3,000,000. In 1850, Chebyshev proved the result using techniques of complex analysis and a shorter analytic proof was later given by Ramanujan. Despite the simple statement of the theorem, the mathematical community was not successful in finding an elementary proof of the result until 1932, when an 18 year old Paul Erdős deduced the result by observing a few properties of the central binomial. In this talk, I will provide the elementary proof first given by Paul Erdős.

Spectral Theory Reading Seminar

iCal  iCal

Time: 4:10PM - 5:00PM

Location: BLOC 624

Speaker: Petr Naryshkin, Texas A&M University

Title: Floquet Theory II

Abstract: I will present Chapter II of " The Spectral Theory of Periodic Differential Equations" by M. S. P. Eastham.