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Explore a mathematical lecture on the geometric construction of Artin representation delivered by Tomoyuki Abe from IPMU - University of Tokyo. Delve into the intricacies of Serre's conjecture regarding a Q_l-rational representation of a finite group G acting on a regular local ring A with residue field of characteristic p. Examine the conditions under which Serre defined an integer-valued function on G and investigate the conjecture's implications in the equal characteristic situation. This hour-long talk provides a deep dive into advanced algebraic geometry and representation theory, offering valuable insights for researchers and advanced students in the field.
