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DTSTAMP:20260430T230205Z
SUMMARY:Junior Geometry Seminar –  Zhaoyang Liu
DESCRIPTION:Title: Intermediate Jacobians and Abel–Jacobi Maps\nSpeaker: 
 Zhaoyang Liu\n\n\n\n\n\n\nAbstract: In this talk we will discuss intermedi
 ate Jacobians and Abel–Jacobi maps for smooth projective varieties over
  C. We begin with a brief review of the classical Jacobian of a smooth pr
 ojective curve\, viewed as a complex torus built from H^1 and parametriz
 ing degree-zero divisor classes.\nWe then introduce intermediate Jacobians
  associated to the cohomology groups H^{2k−1} and explain how they are 
 constructed using Hodge structures. After that\, we define the Abel–Jaco
 bi map from homologically trivial algebraic cycles to the corresponding in
 termediate Jacobian\, and interpret it as a measure of the gap between hom
 ological and rational equivalence.\nIf time permits\, we will also introdu
 ce the general version Abel-Jacobi map from higher Chow groups to Deligne 
 cohomology. This construction has interesting applications to the problem 
 of the non-rationality of special values of the Riemann \\zeta-function.\n
 \n\n\n\n \n\n\n\n \n\n\n\n\nSome snacks will be provided before and afte
 r the talk.\nGo to the seminar main page.\nSubscribe to the mailing list.\
 n
URL:https://www.imperial.ac.uk/events/205345/junior-geometry-seminar-zhaoya
 ng-liu/
DTSTART;TZID=Europe/London:20260206T173000
DTEND;TZID=Europe/London:20260206T183000
LOCATION:Room 139\, Huxley Building\, South Kensington Campus\, Imperial Co
 llege London\, London\, SW7 2AZ\, United Kingdom
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