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SUMMARY:Yiannis Sakellaridis (Johns Hopkins University)
DTSTART:20240319T190000Z
DTEND:20240319T200000Z
DTSTAMP:20260419T151332Z
UID:BC-MIT/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/9/">R
 elative Langlands duality\, past and future</a>\nby Yiannis Sakellaridis (
 Johns Hopkins University) as part of BC-MIT number theory seminar\n\nLectu
 re held in MIT room 2-449.\n\nAbstract\nSince Riemann's 1859 report on the
  zeta function\, it is known that certain automorphic $L$-functions can be
  represented as ("period") integrals\, which often proves analytic propert
 ies such as the functional equation. The method was advanced by Jacquet\, 
 Piatetski-Shapiro\, Rallis\, and many others since the 1970s\, giving rise
  to the "relative" Langlands program. It turns out that the relationship b
 etween periods and $L$-functions reflects a duality between certain Hamilt
 onian varieties for a reductive group and its Langlands dual group. I will
  set up this duality in a limited setting (joint work with David Ben-Zvi a
 nd Akshay Venkatesh)\, and speculate on how it might be expanded in the fu
 ture.\n
LOCATION:https://researchseminars.org/talk/BC-MIT/9/
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