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SUMMARY:Romyar Sharifi (University of California\, Los Angeles)
DTSTART:20260210T220000Z
DTEND:20260210T230000Z
DTSTAMP:20260419T151500Z
UID:BC-MIT/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/30/">
 Eisenstein cocycles for imaginary quadratic fields</a>\nby Romyar Sharifi 
 (University of California\, Los Angeles) as part of BC-MIT number theory s
 eminar\n\nLecture held in 2-449 at MIT.\n\nAbstract\nI will discuss the co
 nstruction of maps from the homology of Bianchi spaces for an imaginary qu
 adratic field F to second K-groups of ray class fields of F.  These maps a
 re “Eisenstein” in the sense that they factor through the quotient by 
 the action of an Eisenstein ideal way from the level. They are direct anal
 ogues of known explicit maps in the setting of modular curves and cyclotom
 ic fields. This is largely joint work with E. Lecouturier\, S. Shih\, and 
 J. Wang\, though I intend to motivate this through the lens of work-in-pro
 gress on "artificial complexes" that aims to provide explicit formulas in 
 terms of Steinberg symbols of elliptic units\, as in the cyclotomic settin
 g.\n
LOCATION:https://researchseminars.org/talk/BC-MIT/30/
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