SPRING 2013

Thursday May 2, 2-3pm CR 5127

Speaker: Michael Warren, School of Mathematics, Institute for Advanced Study

TITLE: Higher-dimensional algebra in topology and logic

ABSTRACT: Higher-dimenisonal algebraic structures naturally arise in algebraic topology, where it has been recognized, at least since Grothendieck's manuscript "Pursuing Stacks" (1983), that complete homotopy theoretic invariants of spaces should be given by a kind of infinite-dimensional groupoid. In this talk we will relate some of the background on higher-dimensional category theory and homotopy theory required to appreciate this perspective and will describe how these ideas have had an impact on recent research in mathematical logic and theoretical computer science (most notably in connection with Vladimir Voevodsky's "univalent foundations").

Coffee/tea and cookies at 1:45pm. All are invited.

WEDNESDAY, April 17
3:30 - 4:45 PM, CR 5208 (Chaparral Hall, 2nd Floor)

Takumi Saegusa, Department of Biostatistics, University of Washington

Title: Empirical Process Theory under Two-phase Sampling

Abstract: Two-phase sampling is a sampling technique for cost reduction and improved estimation adopted in sample survey and epidemiological research. In this design, a sample is obtained from a population at the first phase and then stratified sampling without replacement at the second phase is carried out based on partial information to obtain a subsample for the rest of information. Dependence induced by sampling without replacement at the second phase is usually ignored in practice for convenience, because well-established theoretical results such as the law of large numbers and the central limit theorem often assume independence of observations. To overcome this difficulty in the standard empirical process theory, we develop a set of empirical process tools including a Glivenko-Cantelli theorem, a theorem for rates of convergence of M-estimators and a Donsker theorem for the inverse probability weighted (IPW) empirical empirical process under two-phase sampling. Furthermore we develop a bootstrap procedure for two-phase sampling and establish the corresponding results for the bootstrap IPW empirical process. In this talk, we provide an overview of empirical process theory and its use in statistics. We apply results of IPW empirical processes to weighted likelihood estimation in a general semiparametric model motivated by a real example in the HIV clinical trials. Finite sample properties of our results are examined with simulation study.

About the speaker: Takumi Saegusa is a CSUN alumnus, and has received a Master's degree in Mathematics from us in 2005. He continued to receive a PhD in Biostatistics from the University of Washington in 2012 and is currently a Post-doctoral Senior Fellow at the University of Washington.

Coffee/tea and cookies at 3:30pm. Everyone is invited to come!

THURSDAY Feb 21, 2013
2:00 - 3:00 PM, CR 5127
(Chaparral, 1st Floor))

Federico Bonetto, Department of Mathematics, Georgia Tech

Title: From microscopic to macroscopic: some consideration and examples on statistical mechanics in and out of equilibrium

click here for abstract

FALL 2012

Nov 14, 2012
2:00 - 3:00 PM, CR 5119

Marek Biskup, Department of Mathematics, UCLA

Title: Trailing a walker through a random maze

click here for abstract

Sept 26, 2012
2:00 - 3:00 PM, LO 1325

Cynthia Flores, University of California, Santa Barbara, and CSUN Math Alum

Title: THE IVP FOR THE BENJAMIN ONO EQUATION IN WEIGHTED SOBOLEV SPACES

click here for abstract

SPRING 2011

April 26, 2011
2:00-3:00pm, CR 5208

Gerard Awanou
Northern Illinois University

Title: Good numerical solutions of fully nonlinear elliptic equations

click here for abstract

FALL 2010

Nov 1, 2010
16:00-17:00, CR 5127

Eitan Tadmor
University of Maryland

Title: Small Scale Description of Large Scale Phenomena: From Pixels to Images, from Particles to Flocking

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SPRING 2010

May 5, 2010
15:00-16:00, SH 186

Hailiang Liu
Iowa State University

Title: On Kinetic Models for Polymers

click here for abstract

FALL 2009

October 7, 2009
15:00-16:00, JR 202

Dr. Martin Lo
JPL Caltech

Title: Applications of Topology to Science and Engineering Problems

click here for abstract

September 16, 2009
15:15-16:15, SH 391

Dr. Shripad Garge
IIT Mumbai, India

Title: Finite Coxeter Groups and their Representations

click here for abstract

 

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