MATH 7390

MATH 7390

Course information provided by the Courses of Study 2017-2018.

Topics will vary depending on the instructor and the level of the audience. They range from representation theory of Lie algebras and of real and p-adic Lie groups, geometric representation theory, quantum groups and their representations, invariant theory to applications of Lie theory to other parts of mathematics.

When Offered Spring.

Prerequisites/Corequisites Prerequisite: a one-semester course in Lie groups

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Syllabi: none
  •   Regular Academic Session. 

  • 4 Credits Sat/Unsat

  •  8216 MATH 7390   LEC 001

  • An Introduction to Affine Grassmannians and their Applications Affine Grassmannians are infinite-dimensional spaces that are central objects in geometric representation theory and in the study of moduli spaces of G-bundles on algebraic curves. They have also come to play an increasingly important role in number theory. In this course, we will study their basic geometric properties and discuss some applications.