Seminars archive
Upcoming Seminars   No upcoming seminars currently scheduled.  Past Seminars   Seminar: Algebra and Number Theory Abelian varieties with big monodromy David ZureickBrown, Emory University Venue: Mathematics and Science Center, Room E406 Show abstract Serre proved in 1972 that the image of the adelic Galois representation associated to an elliptic curve E without complex multiplication has open image; moreover, he also proved that for an elliptic curve over Q the index of the image is always divisible by 2 (and in particular never surjective). More recently, Greicius in his thesis gave criteria for surjectivity and gave an explicit example of an elliptic curve E over a number field K with surjective adelic representation. Soon after, Zywina, building on earlier work of Duke, Jones, and others, proved that the adelic image `random' elliptic curve is maximal.
In this talk I will explain recent work with David Zywina in which we generalize these theorems and prove that a random abelian variety in a family with big monodromy has maximal image of Galois. I'll explain the analytic and geometric techniques used in previous work and the new geometric ideas  in particular, Nori's method of semistable approximation needed to generalized to higher dimension.   Seminar: Combinatorics Turan's problem for odd cycles in pseudorandom graphs Mathias Schacht, University of Hamburg   Seminar: Computer Science Computerized Image Analysis for Biomedical Translational Research Jun Kong, Emory University   EUMMA Event Math in Marriage: Don't Call the Lawyers Yet Ron Gould, Emory University   Seminar: Analysis and Differential Geometry A characterization of the polarity transform for reflectors Anastasia Svishcheva, Emory University   Seminar: Analysis and Differential Geometry A solution to a problem of determining the sides of a lens Hasan Palta, Emory University   Seminar: Algebra and Number Theory Nonnegative Polynomials and Sums of Squares Greg Blehkerman, Georgia Tech   Colloquium: Computer Science Evaluating EDiscovery Search Douglas W. Oard, University of Maryland   Seminar: Computer Science Improving QuestionAnswering Using HumanMachine Synergies Ryen White, Microsoft   Seminar: Algebra Mock period functions, sesquiharmonic Maass forms, and noncritical values of Lfunctions Kathrin Bringmann, University of Cologne 
