Gauge Theoretic Approach to Geometric Langlands Program and Khovanov Homology, M.Sc. Thesis Sharif University of Technology ; Arfaei, Hessamaddin (Supervisor)
Abstract
Langlands Program or Langlands Correspondence is a unified theme for many important results of number theory, which proposed by Robert Langlands in the late 1960's. The aim of this program is to relate intricate problems of arithmetic to analysis and use powerful methods of analysis to investigate these problems. One of the main aspects of this duality is the appearance of two dual groups in two sides of it that can be obtained from one another. In the 1980's, by the work of many mathematicians, it turns out that a geometrical version of this duality can be formulated. In the last ten years, a categorical version of duality is worked out. On the other hand, by the work of physicist like...
Cataloging briefGauge Theoretic Approach to Geometric Langlands Program and Khovanov Homology, M.Sc. Thesis Sharif University of Technology ; Arfaei, Hessamaddin (Supervisor)
Abstract
Langlands Program or Langlands Correspondence is a unified theme for many important results of number theory, which proposed by Robert Langlands in the late 1960's. The aim of this program is to relate intricate problems of arithmetic to analysis and use powerful methods of analysis to investigate these problems. One of the main aspects of this duality is the appearance of two dual groups in two sides of it that can be obtained from one another. In the 1980's, by the work of many mathematicians, it turns out that a geometrical version of this duality can be formulated. In the last ten years, a categorical version of duality is worked out. On the other hand, by the work of physicist like...
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