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SUMMARY:Romyar Sharifi (UCLA)
DTSTART:20210401T210000Z
DTEND:20210401T220000Z
DTSTAMP:20260423T024020Z
UID:JNTS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JNTS/19/">EI
 SENSTEIN COCYCLES IN MOTIVIC COHOMOLOGY</a>\nby Romyar Sharifi (UCLA) as p
 art of Columbia CUNY NYU number theory seminar\n\n\nAbstract\nI will discu
 ss describe joint work with Akshay Venkatesh on the construction of $\\tex
 t{\\rm GL}_2(\\mathbb Z)$-cocycles valued in second $K$-groups of the func
 tion fields of the squares of the multiplicative group over the rationals 
 and of a universal elliptic curve over a modular curve. I'll explain how t
 hese cocycles respectively specialize to explicit homomorphisms taking mod
 ular symbols for congruence subgroups to special elements in second cohomo
 logy groups of cyclotomic fields and modular curves\, and I’ll discuss h
 ow our methods can be used to prove an Eisenstein property and Hecke-equiv
 ariance of the respective maps.\n
LOCATION:https://researchseminars.org/talk/JNTS/19/
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