from Monday
January 01, 2018 to Thursday
May 31, 2018
 Show events for: All Events AGNES Algebraic geometry seminar Algebraic models in geometry seminar Am.Math.Soc. (AMS) Chapter Seminar Analysis Seminar Analysis Student Seminar Capsule Research Talks Colloquium Commencement Ceremony Comprehensive Exams Dynamical Systems Seminar Equivalence Method and Exterior Differential Systems Seminar First and Second Year Student Seminar Friday Summer Meeting Geometric Analysis Learning Seminar Geometry/Topology Seminar Grad / Postdoc Professional Development Seminar Graduate Student Seminar Graduate Topology Seminar Grant Proposal Panel Hodge Theory, Moduli and Representation Theory Holiday Party Joint Columbia-CUNY-Stony Brook General Relativity Seminar Math Club Math Day 2016 Math in Jeans Mathematical Writing Seminar Mathematics Education Colloquium Mathematics Summer Camp Mini Course / Dynamics Learning Seminar Mini-School in Geometry Minicourse in Real Enumerative Geometry New Graduate Students NY General Relativity Seminar Postdoc Geometry/Dynamics Seminar Postdoc Seminar RTG Colloquium RTG Seminar RTG Student Geometry Seminar Seminar in Topology and Symplectic Geometry Seminar on algebraic structures in physics Simons Colloquium Simons Lectures Series Singular metrics and direct images Special Algebra / Algebraic Geometry Seminar Special Analysis Seminar Special Colloquium Special Dynamics Seminar Special Geometry/Topology Seminar Special Lectures Special Seminar in Algebraic Geometry Special Topology Seminar Student Algebraic Geometry Seminar Student Gauge Theory Seminar Student Seminar on Differential Geometry and Analysis Summer Workshop in Topology and Geometry Symplectic Geometry Reading Seminar Symplectic Geometry Seminar Thesis Defense Topology and Symplectic Geometry / Math of Gauge Fields seminar Women in Mathematics Instructions for subscribing to Stony Brook Math Department Calendars

 WednesdayJanuary 24, 20181:00 PM - 2:00 PM Math Tower P-131 Xujia Chen, Stony Brook University Belyi's theorem and dessin d'enfantsEvery 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.

 WednesdayJanuary 31, 20181:00 PM - 2:00 PM Math Tower P-131 Saman Habibi Esfahani, Stony Brook University Combinatorial Knot Floer HomologyKnot 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.

 WednesdayFebruary 07, 20181:00 PM - 2:00 PM Math Tower P-131 Aleksandar Milivojevic, Stony Brook University Computations in Cartan-de Rham homotopy theoryThe 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.

 WednesdayFebruary 14, 20181:00 PM - 2:00 PM Math Tower P-131 Nathan Chen, Stony Brook University Elliptic Curves and the Monster groupThere 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!

 WednesdayFebruary 21, 20181:00 PM - 2:00 PM Math Tower P-131 Prithviraj Chowdhury, Stony Brook University Use of localization in commutative algebra.One of the most frequently used tools in commutative algebra and algebraic geometry is localization. We will start from the very basics, by reviewing the construction of a field of fractions from an integral domain to motivate the idea behind localising. After this we will discuss some simple applications of localization such as local global properties, the going up and going down theorem, and if time permits, the factorization of ideals in Dedekind domains.

 WednesdayFebruary 28, 20181:00 PM - 2:00 PM Math Tower P-131 Jean-Francois Arbour, Stony Brook University The fractal nature of isometry classes of Riemannian metricsAlthough the space of Riemannian metrics on a manifold is merely a convex cone in a vector space, it turns out that the space of isometry classes of metrics is awesomely complicated in dimension at least 5. I will present ideas of A. Nabutovsky to that effect. Very informally, one consequence of his work is that in dimension at least 5, the graph of the diameter functional on the space of metrics with bounded curvature on any manifold has infinitely many arbitrarily deep basins at every scale. A beautiful feature of his work is that it blends together ideas from the theory of algorithms, algebraic topology and Riemannian geometry.

 WednesdayMarch 07, 20181:00 PM - 2:00 PM Math Tower P-131 Hang Yuan, Stony Brook University Morse theory and A infinity categoriesWe will first review the classical Morse complex associated to a Morse-Smale function on a compact oriented Riemannian manifold; and then we will propose a natural way to "categorify" it. Unfortunately this way fails to cook up an ordinary category, as the composition is not associative in general. However, it is "associative up to homotopy", and this leads us to a discussion of A infinity algebras and categories. After that, we will use "gradient trees", rather than usual gradient lines, to construct the so-called Morse category, which turns out to be an A infinity (pre-)category.

 WednesdayMarch 21, 20181:00 PM - 2:00 PM Math Tower P-131 Jiahao Hu, Stony Brook University TBATBA

 Show events for: All Events AGNES Algebraic geometry seminar Algebraic models in geometry seminar Am.Math.Soc. (AMS) Chapter Seminar Analysis Seminar Analysis Student Seminar Capsule Research Talks Colloquium Commencement Ceremony Comprehensive Exams Dynamical Systems Seminar Equivalence Method and Exterior Differential Systems Seminar First and Second Year Student Seminar Friday Summer Meeting Geometric Analysis Learning Seminar Geometry/Topology Seminar Grad / Postdoc Professional Development Seminar Graduate Student Seminar Graduate Topology Seminar Grant Proposal Panel Hodge Theory, Moduli and Representation Theory Holiday Party Joint Columbia-CUNY-Stony Brook General Relativity Seminar Math Club Math Day 2016 Math in Jeans Mathematical Writing Seminar Mathematics Education Colloquium Mathematics Summer Camp Mini Course / Dynamics Learning Seminar Mini-School in Geometry Minicourse in Real Enumerative Geometry New Graduate Students NY General Relativity Seminar Postdoc Geometry/Dynamics Seminar Postdoc Seminar RTG Colloquium RTG Seminar RTG Student Geometry Seminar Seminar in Topology and Symplectic Geometry Seminar on algebraic structures in physics Simons Colloquium Simons Lectures Series Singular metrics and direct images Special Algebra / Algebraic Geometry Seminar Special Analysis Seminar Special Colloquium Special Dynamics Seminar Special Geometry/Topology Seminar Special Lectures Special Seminar in Algebraic Geometry Special Topology Seminar Student Algebraic Geometry Seminar Student Gauge Theory Seminar Student Seminar on Differential Geometry and Analysis Summer Workshop in Topology and Geometry Symplectic Geometry Reading Seminar Symplectic Geometry Seminar Thesis Defense Topology and Symplectic Geometry / Math of Gauge Fields seminar Women in Mathematics Instructions for subscribing to Stony Brook Math Department Calendars