MenuEvents for 09/13/2023 from all calendars
Seminar in Random Tensors
Location: BLOC 624
Speaker: G. Paouris, TAMU
Title: Concentration of simple tensors, after Vershynin
Noncommutative Geometry Seminar
Time: 2:00PM - 3:00PM
Location: BLOC 302
Speaker: Shiqi Liu, TAMU
Title: Introduction to the hypoelliptic Laplacian and Bismut’s formula
Abstract: Invented by Jean-Michel Bismut, the hypoelliptic Laplacian is the centerpiece of a new type of index theory. It provides a remarkable trace formula (Bismut’s formula). In the circle case, it is an application of Poission summation formula. In the compact Lie group case, it becomes Frenkel’s formula. In the symmetric space case, it provides an explicit calculation of Selberg trace formula. In this talk, I will give an overview of the hypoelliptic Laplacian, and briefly explain the analytical proof of Bismut’s formula. Recently, using noncommutative geometry, we developed a series of new techniques in analysis to reduce the difficulty of the proof. This is joint work with N. Higson, E. MacDonald, F. Sukochev, and D. Zanin.
Student/Postdoc Working Geometry Seminar
Time: 4:00PM - 5:00PM
Location: BLOC 624
Speaker: Chia-Yu Chang, TAMU
Title: Geometry of algebraic curves I: Riemann Roch and more
AMUSE
Time: 6:00PM - 7:00PM
Location: BLOC 302
Speaker: Andrea Bonito, Texas A&M University
Title: Curved Origami
Abstract: Origami is the Japanese art of folding paper.
Since the famous Japanese crane described in the first known book on the topic (1797), the techniques and complexity of origami designs increased at an exponential rate. While originally for pure decorative purposes, the development of its mathematical language and theory paved the way for many applications in engineering science but also in natural science, computer visualization and architecture. The property exploited in most applications is their sheet-like behaviors when deployed while having the ability to fold to take a reduced amount of space when transported.
In this talk, we explore the effects of non-necessarily straight creases forcing the folded paper to bend. These curved origami received recently significant attentions from the scientific community exploiting the fascinating variety of shapes they can exhibit, their ability to produce rigid configurations and flapping mechanisms, their capacity to undergo large deformations using a small amount of energy, and their applicability at small and large scales alike. We discuss in a simpler context how to mathematically model the folding processes, derive properties of the folded configurations, and present numerical simulations of more complex situations with applications in art, math biology, space exploration and other.
