Amie Wilkinson, University of Chicago Mathematics Department Dynamical symmetry The centralizer Z(f) of a diffeomorphism f: M--> M of a closed manifold M is the group of all diffeomorphisms commuting with f; it is the collection of dynamical symmetries of f. The centralizer of f always contains the group <f>…

Seth Berman, UCR The Big C Seminar: A crash course in ergodic theory and hyperbolic dynamics As a part of The Big C Seminar, this two part talk will serve as an introduction to the 2025 Victor Shapiro Distinguished Lecture, delivered by Professor Amie Wilkinson. With a gentle introduction to ergodic theory and (partially)…

Entropies in QFT Feng Xu, UCR Abstract: I will give an introduction to relative entropies in Quantum Field Theory, and discuss their connections to subfactor theory.

Sina Heydari, Santa Clara University Abstract: Biological organisms exhibit remarkable proficiency in locomotion. From sea stars walking on rocky and uneven terrains to microscopic organisms swimming through viscous fluids, they are well-adapted to their environments. Effective motion in such environments requires the ability to…

Dr. Vishal Patil, UCSD Topology and adaptivity play fundamental roles in controlling the dynamics of biological and physical systems, from chromosomal DNA and biofilms to cilia carpets and worm collectives. How topological rules give rise to adaptive, self-optimizing dynamics in soft and living matter remains poorly understood.…

Integral equations with nonlocal operators: applications and recent development Qiang Du, Columbia University  Recent applications and theoretical developments of models of integral equations using nonlocal operators have shown promise as effective alternatives to local models, especially in the presence of singularities and…

Computing high dimensional Wasserstein geometric flows in neural network parameter space Haomin Zhou, Georgia Tech Machine learning based strategies have impacted computational mathematics significantly in recent years. Many used-to-be intractable tasks such as solving high dimensional PDEs or computing solution operators for…

Jeff Danciger, University of Texas at Austin The Auslander Conjecture is an analogue of Bieberbach’s theory of Euclidean crystallographic groups in the setting of affine geometry.  It predicts that a complete affine manifold (a manifold equipped with a complete torsion-free flat affine connection) which is compact must have…