[csdm-rutgers] UPDATE: Mathematics Seminars -- Week of September 22, 2014

[Anthony Pulido]

INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540

Mathematics Seminars
Week of September 22, 2014


UPDATE: Please note that Burt Totaro's talk, originally scheduled for tomorrow, Thursday, has been moved to Friday and into S-101, the usual seminar room.

Topology of Algebraic Varieties
Topic: 		Symmetric differentials and the fundamental group
Speaker: 	Burt Totaro, University of California, Los Angeles; Member, School of Mathematics
Time/Room: 	11:15am - 12:15pm/S-101
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=63444


--------------
To view mathematics in titles and abstracts, please click on the talk's link.
--------------


Thursday, September 25

Princeton/IAS Symplectic Geometry Seminar
Topic: 		Symplectic fillings and star surgery
Speaker: 	Laura Starkston, University of Texas, Austin
Time/Room: 	11:30am - 12:30pm/S-101
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=63065

Short talks by postdoctoral members
Topic: 		Algebraic cycles on holomorphic symplectic varieties
Speaker: 	Lie Fu, Member, School of Mathematics
Time/Room: 	2:00pm - 2:15pm/S-101

Topic: 		Local relative trace formulas
Speaker: 	Raphaël Beuzart-Plessis, Member, School of Mathematics
Time/Room: 	2:15pm - 2:30pm/S-101

Topic: 		Rota's conjecture and positivity of algebraic cycles in toric varieties
Speaker: 	June Huh, Member, School of Mathematics
Time/Room: 	2:30pm - 2:45pm/S-101

Topic: 		Counting the nodal domains of the Laplacian eigenfunctions on surfaces
Speaker: 	Junehyuk Jung, Member, School of Mathematics
Time/Room: 	4:00pm - 4:15pm/S-101

Topic: 		The 3-Selmer rank in families of cubic twists of elliptic curves
Speaker: 	Nayoung Kim, Member, School of Mathematics
Time/Room: 	4:15pm - 4:30pm/S-101

Topic: 		High dimensional expanders
Speaker: 	Ori Parzanchevski, Member, School of Mathematics
Time/Room: 	4:30pm - 4:45pm/S-101



Friday, September 26

Topology of Algebraic Varieties
Topic: 		Symmetric differentials and the fundamental group
Speaker: 	Burt Totaro, University of California, Los Angeles; Member, School of Mathematics
Time/Room: 	11:15am - 12:15pm/S-101
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=63444

Short talks by postdoctoral members
Topic: 		The polynomial Freiman-Ruzsa conjecture in additive combinatorics and its applications in computational complexity
Speaker: 	Noga Ron-Zewi, Member, School of Mathematics
Time/Room: 	2:00pm - 2:15pm/S-101

Topic: 		From the Fukaya category to curve counts via Hodge theory
Speaker: 	Nicholas Sheridan, Veblen Research Instructor, School of Mathematics
Time/Room: 	2:15pm - 2:30pm/S-101

Topic: 		Fourier-Jacobi periods and central value of \(L\)-functions
Speaker: 	Hang Xue, Member, School of Mathematics
Time/Room: 	2:30pm - 2:45pm/S-101



1 Symplectic fillings and star surgery
    Laura Starkston

Although the existence of a symplectic filling is well-understood for 
many contact 3-manifolds, complete classifications of all symplectic 
fillings of a particular contact manifold are more rare. Relying on a 
recognition theorem of McDuff for closed symplectic manifolds, we can 
understand this classification for certain Seifert fibered spaces with 
their canonical contact structures. In fact, even without complete 
classification statements, the techniques used can suggest constructions 
of symplectic fillings with interesting topology. These fillings can be 
used in cut-and-paste operations called star surgery to construct 
examples of exotic 4-manifolds.

http://www.math.ias.edu/seminars/abstract?event=63065

2 Symmetric differentials and the fundamental group
    Burt Totaro

Esnault asked whether a smooth complex projective variety with infinite 
fundamental group has a nonzero symmetric differential, meaning a 
section of some symmetric power of the cotangent bundle. We prove a 
partial result in this direction, using Simpson's theory of 
representations of the fundamental group. The result gives some 
information on Kobayashi hyperbolicity for these varieties. (Joint with 
Yohan Brunebarbe and Bruno Klingler)

http://www.math.ias.edu/seminars/abstract?event=63444

IAS Math Seminars Home Page:
http://www.math.ias.edu/seminars