College of Natural & Agricultural Sciences

Department Colloquiums & Events

On the shape of pairs of random permutations
October 09, 2024 @ 4:00 pm
Skye 284
Antoine Song, Caltech Minimal surfaces are surfaces which locally minimize the area, and are a classical topic in Differential Geometry. This talk is going to be about minimal surfaces in Hilbert spheres. I will motivate their study by explaining how these objects provide a new way to understand fundamental results like Mostow's…
Cyclic Cubic Extensions of Q, Binary Cubic Forms and Sylvester's Conjecture
October 02, 2024 @ 4:00 pm
Skye 284
B. Sury, Indian Statistical Institute Bangalore, India The classical Diophantine problem of determining which integers can be written as a sum of two rational cubes has a long history, from early works of Sylvester, Satg\´{e}, Selmer etc. and, up to recent work of Alp\”{o}ge-Bhargava-Shnidman. A conjecture attributed to Sylvester…
6th Richard E. Block Distinguished Lecture in Mathematics
June 05, 2024 @ 4:00 pm
Skye 284
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…
Breaking glass optimally and Minkowski's problem for polytopes
May 15, 2024 @ 4:00 pm
Zoom
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…
Distinguished Burton Jones Lecture 2024 - Dessislava Kochloukova
May 08, 2024 @ 3:30 pm
Skye 284
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…
Representation homology of spaces and the strong Macdonald conjectures
April 17, 2024 @ 4:00 pm
Skye 284
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,…
From $\zeta(3)$ to Quantum Curves
April 10, 2024 @ 4:00 pm
Skye 284
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…
The Statistical Theory of Angiogenesis
April 03, 2024 @ 4:00 pm
Skye 284
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…
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