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X-WR-CALNAME:Algebra Seminar
X-WR-TIMEZONE:America/Chicago
X-WR-CALDESC:Algebra Seminar — (SCEN) Science Engineering Building\, Faye
 tteville. Via thenwatoday.com.
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UID:algebra-seminar-2026-10-16@thenwatoday.com
DTSTAMP:20261014T140503Z
DTSTART;TZID=America/Chicago:20261016T125500
DTEND;TZID=America/Chicago:20261016T145500
SUMMARY:Algebra Seminar
LOCATION:(SCEN) Science Engineering Building\, Fayetteville
DESCRIPTION:Speaker: Wanlin Li (Vanderbilt University)\n\nTitle: Reductions
  of abelian varieties\n\n \n\nAbstract: Given an abelian variety defined o
 ver a number field\, a conjecture attributed to Serre predicts that its se
 t of ordinary primes is of positive density. This conjecture had been prov
 ed for elliptic curves\, abelian surfaces\, and certain higher dimensional
  abelian varieties following the work of Serre\, Katz\, Ogus\, Pink\, Sawi
 n\, Suh\, Fite\, etc. In the opposite direction\, Elkies proved that an el
 liptic curve defined over Q has infinitely many supersingular reductions. 
 The generalization of the 0-dimensional supersingular locus of the modular
  curve is the so-called basic locus of a Shimura curve at a good prime. In
  this talk\, I will discuss the set of basic primes for some abelian varie
 ties defined over totally real fields parametrized by certain unitary Shim
 ura curves\; these Shimura curves arise from the moduli spaces of cyclic c
 overs of the projective line ramified at 4 points.\n\n \n\n \n\nFollowing 
 the seminar\, participants are warmly invited to join the speaker for dinn
 er. If you would like to attend\, please email John Bergdall (bergdall@uar
 k.edu) or speak with one of the seminar organizers during the event. Other
  details about the algebra seminar can be found athttps://math-colloquium.
 uark.edu/algebra-research-seminar/.
URL:https://thenwatoday.com/events/algebra-seminar-2026-10-16
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