[iasmath-semru] [math-ias] Mathematics Seminars-Week of April 30, 2018
Kristina Phillips
kphillips at ias.edu
Fri Apr 27 20:58:45 EDT 2018
INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540
Mathematics Seminars
Week of April 30, 2018
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To view mathematics in titles and abstracts, please click on the talk's link.
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Monday, April 30
Princeton/IAS Symplectic Geometry Seminar
Topic: Birational Calabi-Yau manifolds have the same small quantum products.
Speaker: Mark McLean, Stony Brook University
Time/Room: 4:00pm - 5:00pm/Simonyi Hall 101
Abstract Link: http://www.math.ias.edu/seminars/abstract?event=135651
Tuesday, May 1
Locally Symmetric Spaces Seminar
No Seminar
Speaker: No Seminar
Time/Room: -
No Seminar
Speaker: No Seminar
Time/Room: -
Joint IAS/Princeton University Number Theory Seminar
Topic: A converse to a theorem of Gross--Zagier, Kolyvagin and Rubin, II
Speaker: Ashay Burungale, Universite Paris 13; Member, School of Mathematics
Time/Room: 4:45pm - 5:45pm/Simonyi Hall 101
Abstract Link: http://www.math.ias.edu/seminars/abstract?event=136745
Thursday, May 3
Working Group on Algebraic Number Theory
Speaker: To Be Announced
Time/Room: 2:00pm - 4:00pm/1201 Fine Hall, Princeton University
Joint IAS/Princeton University Number Theory Seminar
Topic: A -adically entire function with integral values on and -adic Fourier expansions.
Speaker: Francesco Baldassarri, University of Padova
Time/Room: 4:30pm - 5:30pm/Fine Hall 214, Princeton University
Abstract Link: http://www.math.ias.edu/seminars/abstract?event=136754
1 Birational Calabi-Yau manifolds have the same small quantum products.
Mark McLean
We show that any two birational projective Calabi-Yau manifolds have isomorphic small quantum cohomology algebras after a certain change of Novikov rings. The key tool used is a version of an algebra called symplectic cohomology, which is constructed using Hamiltonian Floer cohomology. Morally, the idea of the proof is to show that both small quantum products are identical deformations of symplectic cohomology of some common open affine subspace.
http://www.math.ias.edu/seminars/abstract?event=135651
2 A converse to a theorem of Gross--Zagier, Kolyvagin and Rubin, II
Ashay Burungale
Let be a CM elliptic curve over a totally real number field and an odd ordinary prime. If the -Selmer group of over has ‑corank one, we show that the analytic rank of over is also one (joint with Chris Skinner and Ye Tian). We plan to discuss the setup and strategy.
http://www.math.ias.edu/seminars/abstract?event=136745
3 A -adically entire function with integral values on and -adic Fourier expansions.
Francesco Baldassarri
We explain the magic of the entire function defined by the functional equation
which satisfies and admits an integral addition law. We then use the Artin-Hasse exponential
to deduce from a topological basis , where , of the Fréchet space of continuous functions , which consists of entire functions defined over taking -adic integral values all over . They satisfy ,
The convergence of the previous sum is uniform on compact subsets of along the filter of cofinite subsets of . We identify the-adic completion of the ring with a topological Hopf algebra of -valued measures on the uniformly open subsets of , equipped with the topology of uniform convergence on the families of balls of equal radius, in such a way that, for any ,
is the Dirac mass at . So, for the inverse series of , let
be the -valued measure on corresponding to . Then, for any , the measure exists in and any continuous function admits the following generalized Amice-Fourier expansion
where the series converges as above.
http://www.math.ias.edu/seminars/abstract?event=136754
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IAS Math Seminars Home Page:
http://www.math.ias.edu/seminars
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