Tuesday November 27, 2018 4:00 PM  5:00 PM Math Tower P131
 Colloquium Theodore Drivas, Princeton University
TBA

Wednesday November 28, 2018 4:00 PM Math Tower 5127
 Analysis Student Seminar Jessica Maghakian, Stony Brook University
Ito's Formula and Stochastic Differential EquationsWe state and prove Ito's formula and define Stochastic differential equations and state an existence/uniqueness result for them.

Wednesday November 28, 2018 4:00 PM  5:30 PM Math Tower P131
 Algebraic geometry seminar Jason Starr, Stony Brook University
Symplectic Invariance of Rational Surfaces on Kaehler ManifoldsGromovWitten invariants are manifestly symplectically invariant and count holomorphic curves of given genus and homology class satisfying specified incidence conditions. The corresponding differential equations for holomorphic *surfaces* are not wellbehaved and do not give invariants. Nonetheless, I will explain how the symplectically invariant GromovWitten theory can produce covering families of rational surfaces in Kaehler manifolds, e.g., every Kaehler manifold symplectically deformation invariant to a projective homogeneous space has a covering family of rational surfaces. The key input is a positive curvature result for spaces of stable maps proved jointly with de Jong.

Wednesday November 28, 2018 2:30 PM  3:30 PM Math Tower P131
 Mini Course / Dynamics Learning Seminar Dimitrios Ntalampekos, Stony Brook University
Nonremovability of the Sierpinski gasket (part II)I will sketch a proof that the Sierpinski gasket is nonremovable for quasiconformal maps. The first step of the argument is the construction of a nonEuclidean sphere, called a "flapplane", that arises by attaching infinitely many rectangles to the Euclidean plane. The second step of the construction is to embed quasisymmetrically this flapplane back to the Euclidean plane, by using the BonkKleiner uniformization theorem. I will provide some details of these arguments, and discuss the properties of the "flapplanes", as well as possible generalizations.

Thursday November 29, 2018 4:00 PM  5:00 PM Math Tower P131
 Colloquium Kristen Hendricks, MSU
TBA

Thursday November 29, 2018 1:00 PM  2:15 PM Math Tower 5127
 Seminar in Topology and Symplectic Geometry Yoosik Kim, Boston University
Immersed twospheres and SYZ of GrassmanniansSYZ mirror symmetry has provided a geometry way to understand mirror symmetry via duality of a Lagrangian torus fibration. In this talk, we discuss how to deal with the most generic singular SYZ fiber, an immersed sphere. Using Floertheoretical machinery, we complete the SYZ mirror constructed from a smooth torus. As an application, we discuss how to construct Rietsch’s Lietheoretical mirror of Grassmannians of two planes by using Floer theory. This is based on joint work with Hansol Hong and SiuCheong Lau.

Friday November 30, 2018 2:30 PM  3:30 PM Math Tower P131
 Dynamical Systems Seminar Christopher J. Leininger, University of Illinois at UrbanaChampaign
Polygonal billiards, Liouville currents, and rigidityA particle bouncing around inside a Euclidean polygon gives rise to a biinfinite "bounce sequence" (or "cutting sequence") recording the (labeled) sides encountered by the particle. In this talk, I will describe recent work with Duchin, Erlandsson, and Sadanand, in which we prove that the set of all bounce sequencesthe "bounce spectrum"essentially determines the shape of the polygon. This is consequence of our main result about Liouville currents on surfaces associated to nonpositively curved Euclidean cone metrics. In the talk I will explain the objects mentioned above, how they relate to each other, and give some idea of the proof of the main theorem.

Friday November 30, 2018 4:00 PM  6:00 PM P131 Math Tower
 Geometric Analysis Learning Seminar Jiasheng Teh, Stony Brook University
Deformation of Complex StructuresDeformation of Complex structures of Riemann surfaces was first considered by Riemann in his memoir on Abelian functions in 1857. However, the general theory for deformation of higher dimensional complex manifolds was established only much later by Kodaira and Spencer in the 1950s. In this talk, we present an overview for the basic notions and results in deformation theory. In particular, main ideas for proving the existence and completeness theorems will be given. We will end the talk with a discussion of TianTodorov unobstructedness theorem for CalabiYau manifolds.

Friday November 30, 2018 1:00 PM  2:30 PM Math Tower 5127
 Thesis Defense Edward T. Bryden, Stony Brook University
Stability of the positive mass theorem for axisymmetric manifoldsBased on the formulation of general relativity, our intuition leads us to expect a close relationship between the ADM mass of an asymptotically flat Riemannian manifold and its geometry. In their celebrated Positive Mass Theorem, Schoen and Yau proved that if an asymptotically flat manifold has nonnegative scalar curvature, then the ADM mass is nonnegative. They also proved that the only asymptotically flat Riemannian with nonnegative scalar curvature and zero mass is Euclidean space, as one would suspect for physical reasons. It is natural to ask whether manifolds with small mass must be close to Euclidean space in some way. This question has been answered in the affirmative for a number of special cases of Riemannian manifolds. This thesis focuses on the collection of simply connected axisymmetric asymptotically flat manifolds. These manifolds are both flexible enough that they model a wide range of interesting physical situations, and restricted enough to have useful special properties. Namely, they have naturally defined and globally valid coordinate systems and a formula which expresses their ADM mass as an integral of nonnegative quantities over the manifold. Furthermore, it is assumed that the manifolds under consideration satisfy one of two additional technical hypotheses. It is then shown that a small ADM mass implies that their metric coefficients are close to the metric coefficients of Euclidean space in cylindrical coordinates with respect to the Sobolev norm.

Wednesday December 05, 2018 4:00 PM Math Tower 5127
 Analysis Student Seminar Silvia Ghinassi, Stony Brook University
SLE: Definition and Basic PropertiesWe will define SLE two ways and discuss some of the basic properties it satisfies.

Wednesday December 05, 2018 4:00 PM  5:00 PM Math Tower P131
 Algebraic geometry seminar Shizang Li, Columbia Universtiy
\
An example of liftings with different Hodge
numbersDoes a smooth proper variety in positive characteristic know the
Hodge number of its liftings? The answer is ”of course not”. However, it’s not
that easy to come up with a counterexample. In this talk, I will first introduce
the background of this problem. Then I shall discuss some obvious constraints
of constructing a counterexample. Lastly I will present such a counterexample
and state a few questions of similar flavor for which I do not know an answer.

Friday December 07, 2018 12:00 PM  1:00 PM Math Tower P131
 Grad / Postdoc Professional Development Seminar Elizabeth Russell, NSA
A mathematician at the NSAElizabeth Russell graduated from Boston University in 2009, working under Bob Devaney. After graduating, she did a postdoc at the United States Military Academy (West Point) and then moved into a tenuretrack position at Western New England University. After a year, she transitioned to the NSA where she has been for the past 5 years. Now she works in the Research Directorate as a member of the data science research group.
During this talk, Liz will discuss employment opportunities for mathematicians and statisticians at the NSA and what it's like to work for the government doing secret math. She will also talk about the roundabout path she took getting here (including the day she decided to leave academia).

Wednesday December 12, 2018 4:00 PM Math Tower 5127
 Analysis Student Seminar Jae Ho Cho, Stony Brook University
SLE: Transition from simple curves to nonsimple curvesTo finish up the semester, we discuss the proof that SLE$(\kappa)$ transitions from being a simple curve to a nonsimple curve when $\kappa = 4$.

Thursday December 13, 2018 4:00 PM  5:00 PM P131
 Colloquium Bhargav Bhatt, University of Michigan.
TBATBA

