Department of Mathematics

Bernard Leclerc Université de Caen, France   Real or Imaginary? These contrasting notions appear in several places in mathematics. Real or imaginary numbers, real or imaginary quadratic fields, real or imaginary roots in a root system ... In this talk I will consider new items in this list: real or imaginary…

Jian-Guo Liu, Duke University  Motivated by a study of least-action incompressible flows, we study all of the ways that a given convex body in Euclidean space can break into countably many pieces that move away from each other rigidly at constant velocity. Assuming they satisfy a least-action principle from optimal…

This year's Distinguished Burton Jones lecture will be given by Professor Dessislava Kochloukova from State University of Campinas (UNICAMP) on May 8th at 4:00 p.m. in Skye Hall 284. Please join us for tea before the lecture at 3:30 p.m. and for the reception afterwards. Dessislava Kochloukova, State University of Campinas…

Yuri Berest, Cornell University In 1982, I. G. Macdonald published a series of beautiful  combinatorial conjectures related to classical root systems (or equivalently, compact Lie groups). These conjectures were in the focus of research in representation theory and geometry for over 30 years. In the early 1990s,…

Mulase Motohico, UC Davis Quantum curves are conceived in physics literature. They are linear differential or difference equations in one variable, and sometimes a mixture of them. These are Weyl quantization of spectral curves appearing in different contexts of mathematics, such as integrable systems, random matrix theory, and…

Bjorn Birnir, Department of MathematicsUniversity of California, Santa Barbara Angiogenesis is a multiscale process by which a primary blood vessel issues secondary vessel sprouts that reach regions lacking oxygen. Angiogenesis can be a natural process of organ growth and development or a pathological one induced by a…

Bjorn Birnir, UCSBAngiogenesis is a multiscale process by which a primaryblood vessel issues secondary vessel sprouts that reach regions lackingoxygen. Angiogenesis can be a natural process of organ growth anddevelopment or a pathological one induced by a cancerous tumor.A mean-field approximation for a stochastic model of…

Milen Yakimov, Northeastern University The talk will provide a gentle introduction to Cluster Algebras based on an example with the first Weyl algebra and not using elaborate combinatorics. We will explore the interplay between the three worlds of cluster algebras: classical, quantum and root of unity, building a bridge between…