Analysis Seminar – Christoph Fischbacher, University of Alabama at Birmingham
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Area Laws for the Entanglement in the XXZ spin chain Abstract: The question on how to rigorously define and prove Many-Body-Localization (MBL) phenomena has attracted significant interest over the recent years. In this talk, we will give a physical motivation for the so-called entanglement entropy (EE) and explain why an area law for the EE can be interpreted
AWM Welcome Meeting
234 Gordon Palmer Hall AL, United StatesApplied Math Seminar – Shibin Dai, University of Alabama
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Degenerate Diffusion in Phase Separations Abstract: Phase separations are widely observed phenomena in materials science. One model of phase separation is the Cahn-Hilliard equation with a smooth double-well potential, and with phase-dependent diffusion mobilities. The latter is a feature of many materials systems and makes the analysis and accurate numerical simulations challenging. In this
Research Talk – Xin Zhou, University of California, Santa Barbara
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Multiplicity One Conjecture in Min-max theory Abstract: I will present a recent proof of the Multiplicity One Conjecture in Min-max theory. This conjecture was raised by Marques and Neves as the key step to establish a Morse theory for the area functional. It says that in a closed manifold of dimension between 3 and 7 with
Analysis Seminar – Joe Renzi, University of Alabama
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Two-sided Mullins-Sekerka flow does not preserve convexity, after Uwe F. Mayer Abstract: The (two-sided) Mullins-Sekerka model is a nonlocal evolution model for closed hypersurfaces, which was originally proposed as a model for phase transitions of materials of negligible specific heat. Under this evolution the propagating interfaces maintain the enclosed volume while the area of the
Analysis Seminar – Tim Ferguson, University of Alabama
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesColloquium – Ken Ono, Emory University
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTopic: Polya’s Program for the Riemann Hypothesis and Related Problems Abstract: In 1927 Polya proved that the Riemann Hypothesis is equivalent to the hyperbolicity of Jensen polynomials for Riemann’s Xi-function. This hyperbolicity has only been proved for degrees d=1, 2, 3. We prove the hyperbolicity of 100% of the Jensen polynomials of every degree. We
Karen Parshall,University of Virginia
205 Gorgas HallColloquium – Karen Parshall, Commonwealth Professor of Mathematics and History, University of Virginia
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: The Roaring Twenties in American Mathematics Abstract: World War I served as a break in business as usual within the American mathematical research community. In its aftermath, American mathematicians had the sense, in Oswald Veblen’s words, of entering into “a new era in the development of our science.” To that end, “very nerve,” according