Graduate Student Seminar

from Monday
January 01, 2018 to Thursday
May 31, 2018
Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars

Wednesday
January 24, 2018

1:00 PM - 2:00 PM
Math Tower P-131
Xujia Chen, Stony Brook University
Belyi's theorem and dessin d'enfants

Every compact Riemann surface can be realized as the normalization of an algebraic curve in P^2. Belyi's theorem states that a compact Riemann surface S can be written as the normalization of an algebraic curve defined by a polynomial F, all of whose coefficients are algebraic numbers, if and only if there exists a branched covering from S to P^1 with at most three branch values. Such a Riemann surface with such a branched covering is called a Belyi pair. Belyi pairs are in one-to-one correspondence to a certain kind of graphs, dessin d'enfants (``children's drawing''), which are defined purely combinatorially. I will begin from the definition and basic properties of Riemann surfaces. Belyi's theorem will not be proved, but I will explain the general idea and give part of the proof if time permits.


Wednesday
January 31, 2018

1:00 PM - 2:00 PM
Math Tower P-131
Saman Habibi Esfahani, Stony Brook University
Combinatorial Knot Floer Homology

Knot Floer homology is an invariant for knots and links in 3-manifolds. We will see a combinatorial description of this invariant and some of its applications in low dimensional topology, including Milnor's conjecture about Torus knots.


Wednesday
February 07, 2018

1:00 PM - 2:00 PM
Math Tower P-131
Aleksandar Milivojevic, Stony Brook University
Computations in Cartan-de Rham homotopy theory

The sizable differential graded algebra of forms on a smooth manifold admits a tractable model which contains more homotopy information than the real cohomology algebra. We will determine this model for several manifolds, compute some higher homotopy groups modulo torsion, and discuss how to model fiber bundles.


Wednesday
February 14, 2018

1:00 PM - 2:00 PM
Math Tower P-131
Nathan Chen, Stony Brook University
Elliptic Curves and the Monster group

There are several perspectives that one can take with regards to elliptic curves. We will first classify them up to biholomorphism using the $j$-invariant, and then explore the relationship between the $j$-invariant and the Monster group. You donut want to miss this talk!


Wednesday
February 21, 2018

1:00 PM - 2:00 PM
Math Tower P-131
Prithviraj Chowdhury, Stony Brook University
TBA

TBA


Wednesday
February 28, 2018

1:00 PM - 2:00 PM
Math Tower P-131
Jean-François Arbour, Stony Brook University
TBA

TBA


Wednesday
March 07, 2018

1:00 PM - 2:00 PM
Math Tower P-131
Hang Yuan, Stony Brook University
TBA

TBA


Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars