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DTSTAMP:20180221T222611Z
DTSTART;TZID=America/Los_Angeles:20180226T151000
DTEND;TZID=America/Los_Angeles:20180226T170000
TRANSP:OPAQUE
SUMMARY:Arithmetic Geometry and Number Theory RTG Seminar: Towards the global Gross-Prasad conjecture for orthogonal groups
UID:115808-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:748 Evans Hall
DESCRIPTION:Rahul Krishna\, Northwestern University\n\nSeminar Format: The seminar consists of two 50-minute talks\, a pre-talk (3:10-4:00) and an advanced talk (4:10-5:00)\, with a 10-minute break (4:00-4:10) between them. The advanced talk is a regular formal presentation about recent research results to general audiences in arithmetic geometry and number theory\; the pre-talk (3:10-4:00) is to introduce some prerequisites or background for the advanced talk to audiences consisting of graduate students.\n\nAbstract of pre-talk: I will explain some background material on the relative trace formula and its uses. As illustration\, I will recall the statement of Waldspurger's formula for toric periods on $PGL_2$ and sketch Jacquet's trace formula proof of this beautiful result.\n\nAbstract of main talk: The global Gross-Prasad conjecture and its refinement by Ichino and Ikeda posit a tight relationship between the central value of an automorphic $L$-function and a certain automorphic period integral on orthogonal groups. In this talk\, I will explain the construction of two relative trace formulas that encode the $L$-value and period integral that appear in this conjecture\; I will also outline a potential comparison between these trace formulas\, and provide some evidence for the usefulness of this comparison in low rank. This is work in progress\, and may be subject to change.
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=115808&view=preview
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