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PRODID:-//Memento EPFL//
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SUMMARY:GAAG seminar - Joint Linnik Problems
DTSTART:20260429T141500
DTEND:20260429T154500
DTSTAMP:20260428T021007Z
UID:268141c6844472e9b03f8a9cd8eda67463005ed4e54071ce2dc2ce3a
CATEGORIES:Conferences - Seminars
DESCRIPTION:Farell Brumley\nA well-known class of arithmetic equidistribut
 ion problems\, attributed to Linnik\, is concerned with periodic toric orb
 its on quaternionic varieties. Classical examples include the equidistribu
 tion of CM points of large discriminant on the modular surface and project
 ions to the sphere of integer solutions to the sum of three squares. These
  problems were essentially solved by Duke using techniques in automorphic 
 forms and analytic number theory. One can combine any two Linnik problems 
 using a diagonal action of the torus\, which encodes their simultaneous eq
 uidistribution (or disjointness). This creates a new set of problems\, fir
 st put forward by Michel and Venkatesh\, of considerably greater difficult
 y. We present new work with Valentin Blomer and Maksym Radziwiłł which u
 ses an array of automorphic and analytic number theoretic techniques to pr
 ove the simultaneous equidistribution of two distinct Linnik problems\, un
 der a no-Siegel-zero type hypothesis. The latter assumption encodes the ab
 undance of small split primes in quadratic field extensions\, a property w
 hich interacts directly with competing approaches emanating from ergodic t
 heory.
LOCATION:GR A3 32 https://plan.epfl.ch/?room==GR%20A3%2032
STATUS:CONFIRMED
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