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Texas A&M University
Mathematics

Events for 10/29/2019 from all calendars

Postdoc Lunch Time Talks

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Time: 12:55PM - 1:15PM

Location: BLOC 220

Speaker: Hao Guo, Texas A&M University

Description:

Title: Coarse geometry and quantization

Abstract: I will give an overview of some recent joint work with Peter Hochs and Mathai Varghese at the University of Adelaide on the formulation of a spin-c quantization map in the language of coarse geometry. The quantization map we define is a maximal equivariant analogue of the localized index map of John Roe. The advantage of working in the maximal setting is that it allows one to compose the quantization map with the reduction map of Mathai-Zhang. As a consequence, I will state a version of Guillemin and Sternberg’s quantization commutes with reduction principle for equivariant spin-c Callias-type operators.

Postdoc Lunch Time Talks

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Time: 1:20PM - 1:40PM

Location: BLOC 220

Speaker: Hang Huang, Texas A&M University

Description:

Title: Equations and Syzygies of Projective Variety Defined by Parametrizations

Abstract: In real life, a lot of varieties we are interested in are given by explicit parametrizations. In many cases, it is very useful, although very difficult, to compute the equations and syzygies of these varieties explicitly. I will discuss some examples that this could be done and indicate a powerful but limited technique of how to compute them.

Postdoc Lunch Time Talks

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Time: 1:45PM - 2:05PM

Location: BLOC 220

Speaker: Jianchao Wu, Texas A&M University

Description:

Title: Crossed product C*-algebras, K-theory, and applications

Abstract: I will outline the construction of crossed product C*-algebras and indicate how the study of their analytical properties and K-theory is relevant in dynamics, topology, geometry, and mathematical physics.

Student Working Seminar in Algebra and Geometry

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Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Arpan Pal, Texas A&M University

Title: Lang's Algebra; Chapter XV, Sections 9-11


Student Working Seminar in Category Theory

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Time: 5:00PM - 6:00PM

Location: BLOC 506A

Speaker: Byeongsu Yu

Title: Universal property and Category of element. (Riehl 2.3~2.4)

Abstract: We will show that the universal property, which is called an abstract nonsence, stems from the initial element of special category named the category of element. The category of element is a special case of comma category. Then, the universal object of the category element gives the universal property of some specific construction.