Analysis Student Seminar

from Friday
June 01, 2018 to Monday
December 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 and Art Symposium for Tony Phillips Math Club Math Day 2016 Math in Jeans Mathematical Writing Seminar Mathematics Department Gathering 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 Representation Theory Student Seminar RTG Colloquium RTG Seminar RTG Student Geometry Seminar SCGP Seminars 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 Differential 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

 WednesdaySeptember 12, 20184:00 PM Math Tower 5-127 Jack Burkart, Stony Brook University Intro. Distortion Theorems for Conformal MapsBefore we get to SLE, we will introduce ideas and motivation behind classical Loewner theory. In particular, we will discuss its relationship to the Bieberbach conjecture. We will also prove classical distortion theorems for conformal maps that we will need in the upcoming weeks, including the Koebe 1/4 theorem and the Koebe distortion theorem.

 WednesdaySeptember 19, 20184:00 PM Math Tower 5-127 Matthew Dannenberg, Stony Brook University Caratheodory Convergence, Herglotz Representation, and Hurwitz's TheoremWe will give a characterization of convergence of conformal mappings in terms of convegence of image domains (for some appropriate notion of convergence). To conclude our prerequisites, we will prove are Hurwitz's theorem that says a sequence of conformal maps converging locally uniformally is conformal or constant, and the Herglotz Representation formula for harmonic functions.

 WednesdaySeptember 26, 20184:00 PM Math Tower 5-127 Ying Hong Tham, Stony Brook University Loewner Chains and the Loewner PDEWe will define radial Loewner chains, and describe their various convergence and distortion properties using the tools from the previous weeks. We will also derive the Loewner PDE, and as an application, prove the Bieberbach conjecture for the case n=3.

 WednesdayOctober 03, 20184:00 PM Math Tower 5-127 Tim Alland, Stony Brook University The Loewner Differential Equation

 WednesdayOctober 10, 20184:00 PM Math Tower 5-127 Jack Burkart, Stony Brook University Slit Domains and Chordal Loewner Theory

 WednesdayOctober 17, 20184:00 PM Math Tower 5-127 Silvia Ghinassi, Stony Brook University Intro to ProbabilityWe will quickly discuss and compare the vocabulary of probability theory with that of measure theory. Then we will introduce independence and conditional expectation.

 WednesdayOctober 24, 20184:00 PM Math Tower 5-127 Jack Burkart, Stony Brook University Optional stopping time and examplesLast week after a quick review of probability we introduced conditional expectations, martingales and stopping times. We will talk about optional stopping times and complete the picture with examples.

 WednesdayOctober 31, 20184:00 PM Math Tower 5-127 Matthew Dannenberg, Stony Brook University Brownian MotionIn this talk we will define Brownian motion carefully, discuss its construction, and discuss many of its useful properties, including the Markov property and its scaling limit properties.

 WednesdayNovember 14, 20184:00 PM Math Tower 5-127 Jack Burkart, Stony Brook University Stochastic Calculus Pt. 2We'll discuss the Stochastic integral as a continuous time martingale.

 WednesdayNovember 28, 20184:00 PM Math Tower 5-127 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.

 WednesdayDecember 05, 20184:00 PM Math Tower 5-127 Silvia Ghinassi, Stony Brook University SLE: Definition and Basic PropertiesWe will define SLE two ways and discuss some of the basic properties it satisfies.

 WednesdayDecember 12, 20184:00 PM Math Tower 5-127 Jae Ho Cho, Stony Brook University SLE: Transition from simple curves to non-simple curvesTo finish up the semester, we discuss the proof that SLE$(\kappa)$ transitions from being a simple curve to a nonsimple curve when $\kappa = 4$.

 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 and Art Symposium for Tony Phillips Math Club Math Day 2016 Math in Jeans Mathematical Writing Seminar Mathematics Department Gathering 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 Representation Theory Student Seminar RTG Colloquium RTG Seminar RTG Student Geometry Seminar SCGP Seminars 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 Differential 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