Description:We will give an introduction course to the research field called Geometric Langlands Theory (GLT).Roughly speaking, GLT is the analogue of the classical Number-theoretical Langlands Theory under the function field analogy, but the mathematical structures studied in GLT are often “1-categorical level higher” than its number-theoretical counterpart. Typical such structures include: ...
IntroductionOne of the classical objects in asymptotic representation theory is the infinite symmetric group. The main objective of this course is to explore various questions and methods of the theory by examining the Plancherel measure on the set of Young diagrams, which parametrize the irreducible representations of symmetric groups. We will begin with the study of the limit shape using vari...
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