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Cubic and Non-cubic Dirac Operators - Applications in Algebraic and Differential Geometry

Offered By: Prague Mathematical Physics Seminar via YouTube

Tags

Dirac Operator Courses Differential Geometry Courses Representation Theory Courses Mathematical Physics Courses Algebraic Geometry Courses

Course Description

Overview

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Explore the world of Dirac operators in this Prague Mathematical Physics Seminar talk. Delve into Vogan's algebraic analogue of the Dirac operator for (g,K)-modules and his conjecture on Dirac cohomology. Examine the cubic Dirac operator proposed by Goette and Kostant as a generalization of Vogan's construction. Learn about the newly introduced concept of non-cubic Dirac operators and discover their applications in Differential Geometry. Gain insights into these advanced mathematical concepts over the course of this 67-minute lecture.

Syllabus

Cubic and non-cubic Dirac operators - Spyros Afentoulidis-Almpanis


Taught by

Prague Mathematical Physics Seminar

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