Title: Geometric Stability of Minimal Surfaces with Y-Singularities

Abstract: Singular minimal surfaces arise naturally in geometric variational problems, yet their stability theory remains far less understood than in the smooth setting.
In this talk, I will present geometric stability results for minimal surfaces with Y-singularities in $\mathbb{R}^3$. I will explain how instability decomposes into contributions from the smooth faces and additional spectral effects localized along the singular...

Title: Proofs and Programs

Abstract:

The Curry-Howard correspondence is one of (if not the) most significant foundational result in the study of programming languages and logics.

At its most fundamental, the Curry-Howard correspondence describes a deep connection between (predicative intuitionistic) logic with (simply-typed functional) programming: logical propositions are types, proofs of those propositions are functions inhabiting those types, and simplification of those proofs is evaluation of...

Title: Automorphic representations and L-functions for GL(1) over Q

Speaker: Lihe Wang, Department of Mathematics

Title: Mathematical modeling of flagellated bacterial swimming
Abstract: Bacterial swimming mediated by flagellar rotation is one of the most ubiquitous forms of cellular locomotion and plays a central role in processes ranging from environmental adaptation to symbiosis and pathogenesis. Although the trajectories of flagellated bacteria often resemble random walks, their motion is strongly modulated by environmental cues, resulting in diverse motility patterns and combinations of swimming modes...

Title: Global weak solutions for a hyperbolic system arising in blood flow models in the half-line

Abstract: In this talk, we show the existence of entropy global weak solutions for the initial-boundary value problem of a non-strictly hyperbolic system arising in blood flow models in the half-line. We employ boundary entropy pairs and the theory of divergence measure fields to formulate a suitable notion of weak solution. We use the vanishing viscosity method and the compensated compactness...

Title: Volume inequalities and volume polynomials

Abstract: Many classical geometric inequalities, such as the isoperimetric inequality and the Loomis-Whitney inequality, can be understood and generalized using mixed volumes. In this talk, I will explain how these inequalities fit into a broader framework based on volume polynomials, which naturally relate mixed volume inequalities to intersection number inequalities in algebraic geometry. This perspective provides a unified approach to a wide...

Title: Volume inequalities and volume polynomials

Abstract: Many classical geometric inequalities, such as the isoperimetric inequality and the Loomis-Whitney inequality, can be understood and generalized using mixed volumes. In this talk, I will explain how these inequalities fit into a broader framework based on volume polynomials, which naturally relate mixed volume inequalities to intersection number inequalities in algebraic geometry. This perspective provides a unified approach to a wide...

Title: Automorphic representations and L-functions for GL(1) over Q