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SUMMARY:On the homology classes defined by closed geodesics on the modular
  curve [MPIM]
DTSTART:20250320T150000Z
DTEND:20250320T160000Z
DTSTAMP:20260416T081000Z
UID:indico-event-289@math-events.uni-bonn.de
DESCRIPTION:Speakers: Bekki Hohto (MPIM)\n\nMPI-Oberseminar\nClosed geodes
 ics on the modular curve define certain homology classes of SL(2\,Z). Thes
 e homology classes are very interesting objects that are related to the ar
 ithmetic of real quadratic fields\, half-integral weight modular forms\, e
 tc. . For example\, it is known that the pairing between such homology cla
 sses and the Eisenstein class (a cohomology class of SL(2\,Z) defined by E
 isenstein series) gives special values of zeta functions of real quadratic
  fields\, leading to many applications. \nIn this talk\, I will discuss th
 e size of the subgroup (in the homology of SL(2\,Z)) generated by such hom
 ology classes defined by closed geodesics and its consequences. This talk 
 is based on joint work in progress with Ryotaro Sakamoto. \n\nhttps://math
 -events.uni-bonn.de/event/289/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/289/
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