【04-11】Counting Minimal Surfaces in Quasi - Fuchsian 3 - Manifolds and Beyond-Zheng Huang
Abstract：quasi - Fuchsian is an important class of hyperbolic 3 - manifolds whose fundamental groups are of closed surfaces. I will discuss some old and new counting results on minimal surfaces in such a hyperbolic 3 - manifold. Then I will present results towards some degeneration.
【04-21】Kuznetsov trace formula for GSp(4) and applications-Didier Lesesvre
Abstract:
Trace formulas relate statistics on automorphic forms, which often remain mysterious yet central in number theory, with statistics on geometric or arithmetic quantities, which one hopes to be more explicit and better understood.
We will discuss how to establish such a Kuznetsov-type trace formula in the case of the symplectic group GSp(4), and will study the precise analytic behaviour of both the spectral and the arithmetic transforms arising in the formula.
These fundamental propert
【03-31】The n/d conjecture for nonresonant hyperplane arrangements-Baiting Xie
Abstract:
Given a polynomial f, it is difficult to determine the roots of its b-function b_f explicitly. In particular, when f is a homogeneous polynomial of degree d with n variables, it is open to know when -n/d is a root of b_f. For essential indecomposable hyperplane arrangements, this is a conjecture by Budur, Musta\c{t}\u{a} and Teitler and implies the strong monodromy conjecture for arrangements. In this talk, I will introduce a cohomological sufficient condition given by Walther and use
【03-31】Periods of algebraic varieties-Mingmin Shen
Abstract:
Algebraic varieties are spaces defined by polynomial equations. Calculus on such spaces easily leads to integrals of algebraic differential forms along topological cycles; such integrals give an interesting class of numbers, called periods. One example is the elliptic integral, which has played an important role in the development of mathematics.
Periods are very important, but they are also very difficult to calculate. In this talk, I will describe a modern framework for the study of
【03-26】Chaos on the surface-Jérôme BUZZI
Abstract:
It was noticed by Newhouse that surface diffeomorphisms in positive entropy share some of the chaotic flavor of the uniform hyperbolicity of Anosov-Smale.
In a joint project with Sylvain CROVISIER and Omri SARIG, we have indeed generalized many properties of the Anosov-Smale dynamics to arbitrary smooth surface diffeomorphisms with positive entropy: finite multiplicity of the measures maximizing the entropy, exponential mixing, almost sure invariance principle, and many other statist
Data fusion and statistical learning in patient care cycle: from diagnosis to care to system-level decision-making
Title：Data fusion and statistical learning in patient care cycle: from diagnosis to care to system-level decision-making Speaker：Bing Si，State University of New York at BinghamtonTime: 2020-01-10，16:00-17:00Place：Room 1418, Management
Workshop on Geometry and Physics
Date: January 4, 2020 (Saturday)Place: Room 1418, Management R&D Building, USTC Conference Schedule &n
Ellipticity of the Bartnik Boundary Conditions
Title：Ellipticity of the Bartnik Boundary ConditionsSpeaker：Zhongshan An（University of Connecticut）Time: 2020-01-03，10:30-12:00 Place：Room 5406, The 5th Teaching Building, East CampusAbstract：The Bartnik quasi-local mass is defined to measu
Complex structures on Einstein four-manifolds of positive scalar curvature
Title: Complex structures on Einstein four-manifolds of positive scalar curvatureSpeaker：Wu Peng, Shanghai Center for Mathematical Sciences SCMSTime: 2019-12-27,16:00-17:30 Place: Room 5107, The 5th Teaching Building, East CampusAbstract:In
Stability of peakons of the shallow water modeling with cubic nonlinearity
Title：Stability of peakons of the shallow water modeling with cubic nonlinearitySpeaker：Liu Yue，University of Texas Arlington TX Time：12-25 9:40-10:40Place：Room 1418, School of Mathematical Sciences, Management Research Building,
Commuting partial differential operators and higher-dimensional algebraic varieties in connection with higher-dimensional analogues of the KP theory
Title: Commuting partial differential operators and higher-dimensional algebraic varieties in connection with higher-dimensional analogues of the KP theorySpeaker：Alexander Zheglov，Moscow State UniversityTime：2019-12-9 10:00-11:00Plac
Symbolic extensions for 3-dimensional diffeomorphisms
Title：Symbolic extensions for 3-dimensional diffeomorphismsSpeaker：Liao Gang， Suzhou UniversityTime：2019-12-5 14：30--15：30Place：Room 1418, School of Mathematical Sciences, Management Research Building, East CampusAbstract：We prove tha