Events
| << Prev | February 13, 2012 - February 20, 2012 | Next >> |
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Mon 02/13
MBI Winter Quarter Course: An Invitation to Probability (MBI Seminar)
Peter March (Divisional Dean, Natural and Mathematical Sciences, The Ohio State University)
Start: 9:30 am
End: 10:20 am
Location: Jennings Hall, Room 355
Jennings Hall, Room 355
The goal of this short course is to develop a feel for probability theory through worked examples and classic calculations. We'll begin by reviewing basic examples of random walks, branching processes, Gibbs measures, and Markov chains. Next we'll discuss the ergodic theory of Markov chains and the Monte Carlo method. Finally we'll discuss the convergence of random walk to Brownian motion and sketch the basics of stochastic calculus.
These lectures will be available by live streaming video. If you would like to view MBI talks live, please email us at streaming@mbi.osu.edu and ask for a link.
MBI Colloquium: Linda Allen (MBI Seminar)
Linda Allen (Texas Tech University)
Start: 2:30 pm
End: 3:30 pm
Location: 364 Jennings Hall, 1735 Neil Ave.
364 Jennings Hall, 1735 Neil Ave.
Title: Extinction Thresholds in Deterministic and Stochastic Models for Epidemics and Viral Dynamics PDF Abstract: http://www.mbi.osu.edu/seminars/seminarmaterials/Abstract_MBI_Feb13_alle... Edward Witten (IAS)
Start: 4:30 pm
End: 5:30 pm
Location: EA 160
EA 160
Chern-Simons gauge theory in three dimensions gives a natural framework to understand the Jones polynomial of knots and related invariants of knots and three-manifolds. It is also closely related to conformal field theory in two dimensions as well as to quantum groups. In this talk, we will sketch a more recent point of view that relates Chern-Simons theory to mathematical physics in four dimensions.
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Tue 02/14
MBI Visitor Seminar: Jonathan Mattingly (MBI Seminar)
Jonathan Mattingly (Duke University)
Start: 10:30 am
End: 11:20 am
Location: Jennings Hall, Room 355
Jennings Hall, Room 355
Compactness of Hankel operators on convex domains (Analysis and Operator Theory Seminar)
Zeljko Čučković (Univ. of Toledo)
Start: 2:30 pm
End: 3:25 pm
Location: CH 240
CH 240
We are interested in the following question: How does compactness of Hankel operators on Bergman spaces relate to the boundary geometry of domains in $C^n$? We will present some previous results on compactness of Hankel operators on convex domains as well as some recent work on products of Hankel operators on convex Reinhardt domains in $C^2$. (joint work with Sonmez Sahutoglu)
New topological invariants for a continuous nonzero complex valued functions (Topology Seminar)
Dan Burghelea (OSU, Mathematics)
Start: 2:30 pm
End: 3:30 pm
Location: MW154
MW154
Given a compact ANR X and f : X → C \ 0 a continuous map, for any 0 ≤ r ≤ dimX, one proposes three monic complex valued polynomials Pr,s(z) Pr,a(z) and Pr,m(z), with
• deg(Pr,s(z) = βr(X), βr(X) the r−th Betti number,
• deg(Pr,a(z) = βrN(X,f, ) βrN(X,f) the r−th Novikov Betti number,
• Pr,m(z) a homotopy invariant of f.
The first two are continuous assignments with respect to compact open topology, the last is locally constant (on the space of continuous functions with compact open topology).
These polynomials
Interpreting the projective hierarchy in expansions of the ordered set real numbers, II (Logic Seminar)
Michael Tychonievich (OSU)
Start: 3:30 pm
End: 4:30 pm
Location: CC206
CC206
We give a powerful criterion for when an expansion of the ordered
set of real numbers defines the image under a semialgebraic
injection of the expansion of the field of real numbers by the set N of
natural numbers. In particular, we show that for any non-quadratic
irrational number b,
the expansion of the ordered Q( b)-vector space of real numbers by N
interprets the real projective hierarchy. (Joint with Philipp
Hieronymi.)
Edward Witten (IAS)
Start: 4:00 pm
End: 5:00 pm
Location: EA Room 0160
EA Room 0160
The talk will be an overview of some of the ideas about quantum gravity that have developed in the last few decades, emphasizing duality between quantum gravity and ``ordinary'' physical models, that is models without gravity.
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Wed 02/15
MBI Winter Quarter Course: An Invitation to Probability (MBI Seminar)
Peter March (Divisional Dean, Natural and Mathematical Sciences, The Ohio State University)
Start: 9:30 am
End: 10:20 am
Location: Jennings Hall, Room 355
Jennings Hall, Room 355
The goal of this short course is to develop a feel for probability theory through worked examples and classic calculations. We'll begin by reviewing basic examples of random walks, branching processes, Gibbs measures, and Markov chains. Next we'll discuss the ergodic theory of Markov chains and the Monte Carlo method. Finally we'll discuss the convergence of random walk to Brownian motion and sketch the basics of stochastic calculus.
These lectures will be available by live streaming video. If you would like to view MBI talks live, please email us at streaming@mbi.osu.edu and ask for a link.
Combinatorics of Knots (Invitation to Research)
Sergei Chmutov (OSU)
Start: 4:30 pm
End: 5:30 pm
Location: CH 240
CH 240
Topology of knots and links in a 3-space is tightly related to comboinatorics. This relation was highly promoted by ideas of modern physics leading to so called quantum invariants of knots and links such as the Jones polynomial and others. I am going to show several aspects of this relation. In the first lecture I will present the classical Thistlethwaite theorem relating the Jones polynomial of a link with the Tutte polynomial of an appropriate planar graph. If time permits, I will describe a generalization of this theorem to virtual links. Here the corresponding graphs turn out to be embedded into higher genus surfaces. | ||
Thu 02/16
MBI Postdoc Seminar: Rachel Leander (MBI Seminar)
Rachel Leander (The Ohio State University)
Start: 10:30 am
End: 11:30 am
Location: Jennings Hall, Room 355
Jennings Hall, Room 355
Computability of Julia sets: a survey. (Ergodic Theory and Probability Seminar)
Artem Dudko (University of Toronto)
Start: 1:30 pm
End: 2:18 pm
Location: MW 154
MW 154
Roughly speaking, the Julia set of a rational function f is a set of points at which iterations of f behave chaotically. A set S on the complex plane is called computable, if there is an algorithm which can produce pictures, approximating S with arbitrarily high precision. Computer-generated images of Julia sets play a crucial role in establishing new results on dynamics of rational functions. In this talk, we will present a survey on computability of Julia sets. In particular, we will provide a wide class of maps whose Julia sets can be computed efficiently. Also, we will discuss how to construct examples of non-computable Julia sets and of Julia sets whose computational complexity can be arbitrarily high. The talk is aimed for non-specialists in the fields of Complex Dynamics and Computability. All necessary definitions will be given.
Positivity preserving well-balanced methods for the shallow-water equations (Applied Mathematics Seminar)
Yulong Xing (University of Tennessee, Knoxville & Oak Ridge National Laboratory)
Start: 2:30 pm
End: 3:30 pm
Location: MW 154
MW 154
Shallow-water equations with a non-flat bottom topography have been widely
used to model flows in rivers and coastal areas. An important difficulty arising in these simulations is the appearance of dry areas, and standard numerical methods may fail in the presence of these areas. These equations also have steady-state solutions in which the flux gradients are non-zero but exactly balanced by the source term. In this presentation, we propose some recently developed high-order discontinuous Galerkin and weighted essentially non-oscillatory methods, | ||
Fri 02/17
Completely W-resolved Complexes (The OSU-OU Ring Theory Seminar)
Xiaoxiang Zhang (Southeast University, Nanjing, China)
Start: 4:45 pm
End: 5:45 pm
Location: MW 154
MW 154
The theory of relative homological algebra for modules has been well developed since 1980's.
It is also extensively generalized to other categories.Among others, the category of complexes of modules has drawn wide attention and many results on modules have been generalized to a version of complexes. For instance, there are"Gorenstein injective modules vs Gorenstein injective complexes" and"Gorenstein projective modules vs Gorenstein projective complexes". Recentely, completely W-resolved modules are introduced and investigated (where W is a self-orthogonal | ||
Sat 02/18
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Sun 02/19
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Mon 02/20
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