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Arakelov geometry over adelic curves

  • Speaker:Prof. Huayi Chen
  • Organizer:Beijing-Saint Petersburg Mathematics Colloquium
  • Start Time:2022-06-16 21:00
  • End Time:2022-06-16 22:00
  • Venue:online

To Join Zoom Meeting:

https://us02web.zoom.us/j/88553976037?pwd=dzd3aW5EcEFyR0ViN2xCQ1I4Z2tRQT09

Meeting ID: 885 5397 6037

Password: 708432

 

Abstract: Arakelov geometry is a theory of arithmetic geometry which combines algebraic geometry over an algebraic integer ring and complex analytic geometry to study the arithmetic properties of projective varieties over a number field. In a joint work with Atsushi Moriwaki, by using the adelic point of view of Chevalley and Weil, we extend Arakelov geometry to the setting of projective varieties over an arbitrary countable field. In this talk, I will explain the main ideas behind this theory, and the similarity and differences compared to the classical approach.

 

Bio: Huayi Chen is currently a Professor at Paris Diderot University and the Mathematics Institute of Jussieu–Paris Rive Gauche. He graduated from Peking University in 2000. In 2003, he got his Master's degree at Pierre and Marie Curie University. Then he got his PhD at Laurent Schwartz Mathematics Center, Ecole Polytechnique in 2006. His research interests include algebraic geometry, Arakelov geometry and Diophantine problems.

 

 

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