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Mathematics and Computer Science — Event

Modularity of Galois representations

9th Emil Artin Lecture on July 7, 2022, Hörsaal Mathematikon
Chandrashekhar Khare

After two years Corona-pause we are very happy to announce that the 09th Emil Artin Lecture will be held in Heidelberg again on July 7th, 2022.

Speaker: Prof. Dr. Chandrashekar Khare, UCLA

Title: Modularity of Galois representations, from Ramanujan to Fermat's Last Theorem

Abstract: Ramanujan made a series of influential conjectures in his 1916 paper On some arithmetical functions on what is now called the Ramanujan -function. A congruence Ramanujan observed for in the paper led to Serre and Swinnerton-Dyer developing a geometric theory of modular forms. It was in the context of the theory of modular forms that Serre made his modularity conjecture, which was initially formulated in a letter of Serre to Tate in 1973. I will describe the path from Ramanujan’s work in 1916, to the formulation of a first version of Serre’s conjecture in 1973, to its resolution in 2009 by Jean-Pierre Wintenberger and myself. I will also try to indicate why this subject is very much alive and, in spite of all the progress, still in its infancy.

Course of events:

  • 16.45 pm Coffee in the courtyard lobby of Mathematikon
  • 17.15 pm Lecture, Hörsaal Mathematikon, INF 205, Heidelberg

Organizer: MAThematics Center Heidelberg

About the Emil Artin Lectures: EMIL ARTIN (born March 4, 1898 in Vienna, died December 20th, 1962 in Hamburg) was one of the leading algebraists and number theorists of the 20th century. Artin -functions, the Artin reciprocity law, or Artinian rings have become fundamental terms in mathematics. Together with his student John Tate, he introduced cohomological methods into number theory. His works on braid groups have found applications in theoretical physics. The Emil Artin Lecture, arranged once a year by MATCH, wants to dignify important developments and fundamental contributions in mathematics, and present them to the academic public being interested and trained in mathematics.

Dated: 2022-07-07, sig.: Venjakob
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Last updated on Jun 16, 2022 at 10:06 AM