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SUMMARY:Igor Nikolaev (St. John's University)
DTSTART:20210331T190000Z
DTEND:20210331T200000Z
DTSTAMP:20260420T053230Z
UID:NYC-NCG/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/51/"
 >Quantum dynamics of elliptic curves</a>\nby Igor Nikolaev (St. John's Uni
 versity) as part of Noncommutative geometry in NYC\n\n\nAbstract\nWe calcu
 late the $K$-theory   of a  crossed product $C^*$-algebra \n $\\mathscr{A}
 _{RM}\\rtimes\\mathscr{E}(K)$\,  where  $\\mathscr{A}_{RM}$ is the \n nonc
 ommutative torus with real multiplication  and $\\mathscr{E}(K)$  is an el
 liptic curve \n over the number field $K$.    We use this result to evalua
 te  the rank and  \n the Shafarevich-Tate group of $\\mathscr{E}(K)$.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/51/
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