Title: Variational-Hemivariational Inequalities: Theory, Numerical Analysis, and Applications   Abstract: In recent years, modeling, mathematical analysis, and numerical solution of hemivariational inequalities, or more generally, variational-hemivariational inequalities, have attracted much attention in the research communities.  Through the formulation of variational-hemivariational inequalities, application problems involving nonsmooth, monotone or non-monotone, multivalued constitutive...

Short Bio: Professor  Dongbin Xiu received his Ph.D degree from Division of Applied Mathematics of Brown University in 2004. He joined the Department of Mathematics of Purdue University in 2005. In 2013, he moved to the University of Utah as a Professor in the Department of Mathematics and Scientific Computing and Imaging (SCI) Institute. In 2016, He moved to The Ohio State University as Professor of Mathematics and Ohio Eminent Scholar. He received NSF CAREER award in 2007 and was elected to...

Title: Can Computational Modeling Inform Intervention Strategies to Mitigate the Impact of Developmental Abnormalities? Abstract: Branched, tree-like structures, such as the lung airways and mammary ducts, are vital for fluid transport in mammals. They facilitate the secretion and distribution of essential substances, as well as the removal of waste, thereby supporting diverse physiological functions. The formation of these tree-like structures typically begins during embryonic development...

Title: Quantum symmetries old and new.   Abstract: Quantum symmetries is the study of how symmetries of classical objects carry over to their quantizations.  In this lecture I will review the work of De Concini, Kac and Lusztig on how the coadjoint action of an algebra group G carries over to an action of a quantum group at a root of unity on its restricted dual at that root of unity.  I will then resolve a recent conjecture in skein theory negatively by analyzing the quantum symmetries...

Title: Number theory and cryptography   Abstract:  In this presentation Professor Ye will survey his work and progress in number theory since his last colloquium talk in the department. Topics include the Riemann zeta function, automorphic L-functions, their functoriality, upper bounds, and zero statistics, computational number theory, and its applications to cyberspace security or insecurity.   Short Bio: Professor Yangbo Ye is a professor of Mathematics with expertise in number theory and...