# Math Calendar

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<>December 2012
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Log in to request a room reservation that will appear here for special events. Click on a day to view the room schedule for available times.

A live feed of seminars and special events in the upcoming week.

December 3rd, 2012 (03:30pm - 05:30pm)
Seminar: Center for Dynamics and Geometry Seminars
Title: Cocycles of isometries of non-positively curves spaces
Speaker: Boris Kalinin, Penn State
Location: MB106

We will discuss cocycles over a dynamical systems with values in the group of isometries of a non-positively curves space. We will concentrate on the case when the system in the base is hyperbolic and illustrate how such cocycles arise naturally in the study of more standard linear and group-valued cocycles.

December 4th, 2012 (10:00am - 10:50am)
Seminar: Hyperbolic and Mixed Type PDEs Seminar
Title: discussion session
Speaker: Geng Chen, Penn State
Location: MB216
December 4th, 2012 (11:15am - 12:05pm)
Seminar: Combinatorics/Partitions Seminar
Title: A combinatorial formula for certain Hecke algebra characters
Speaker: Sam Clearman, Lehigh
Location: MB106

The Hecke-Iwahori algebra $H_n(q)$ is a quantum of the symmetric group algebra. We conjecture a combinatorial interpretation of the induced trivial character $\eta^\lambda_q$ on certain $H_n(q)$ elements. In particular, we conjecture that these polynomials are the generating functions of the path tableaux of specified planar networks under an appropriate statistic. We discuss connections to chromatic polynomials and totally nonnegative matrices.

December 4th, 2012 (02:30pm - 03:45pm)
Seminar: Logic Seminar
Title: Results in Measure Theoretic Regularity
Speaker: Noopur Pathak, Pennsylvania State University
Location: MB315

We will explore well known results in Measure Theoretic Regularity, originally proved for Lebesgue measure by Kautz, Kjos-Hanssen, Dobrinen/Simpson, Simpson, Kjos-Hanssen/Miller/Solomon, and try to extend them to computable and non-computable measures.

December 4th, 2012 (03:30pm - 06:00pm)
Seminar: Working Seminar: Dynamics and its Working Tools
Title: Higher cohomology for group actions with hyperbolic structure, II.
Speaker: Felipe Ramirez, University of Bristol
Location: MB216
December 5th, 2012 (03:35pm - 05:30pm)
Seminar: Center for Dynamics and Geometry Seminars
Title: Knot theory of R-covered Anosov flows: homotopy versus isotopy of closed orbits
Speaker: Thomas Barthelmé, Tufts University
Location: MB106

R-covered Anosov flows are Anosov flows on 3-manifolds such that their stable and unstable foliations are well-behaved (their leaf spaces are homeomorphic to R). Geodesic flows of negatively curved manifolds and suspensions of Anosov diffeomorphisms are examples of R-covered Anosov flows, but there are many other examples in all kinds of 3-manifolds. When the manifold is hyperbolic, S. Fenley showed that every free homotopy class of a closed orbit contains infinitely many closed orbits. Hence a free homotopy class of a closed orbit gives a family of knots in an hyperbolic manifold. A natural question is whether these knots are equivalent or not. In my talk, I will introduce the needed tools and answer that question. (Joint work with Sergio Fenley)

December 6th, 2012 (09:00am - 10:10am)
Seminar: Mathematical Biology & Physiology Seminar
Title: mathematical biology seminar
Speaker: TBA, TBA
Location: MB114
Abstract: http://www.math.psu.edu/treluga/mmbs.html
December 6th, 2012 (10:00am - 10:50am)
Seminar: Hyperbolic and Mixed Type PDEs Seminar
Title: Discussion session
Speaker: TBA
Location: MB216
December 6th, 2012 (11:15am - 12:05pm)
Seminar: Algebra and Number Theory Seminar
Title: Bijective proofs using two-line matrix representations for partitions
Speaker: Jose Plinio Santos, University of Campinas, Brazil
Location: MB106

In this paper we present bijective proofs of several identities involving partitions by making use of a new way for representing partitions as two-line matrices. We also apply these ideas to give a combinatorial proof for an identity related to three-quadrant Ferrers graphs.

December 6th, 2012 (11:30am - 01:00pm)
Seminar: Teaching Seminar
Title: Recognizing and reporting behaviors that may be aggressive, disruptive, or dangerous in our classrooms and student interactions, and the risks associated with such behaviors.
Speaker: Rebecca B. Bywater, Penn State Behavior Threat Management Team
Location: MB114

“Recognizing and reporting risky and threatening behaviors in our classrooms, office spaces, and learning communities – what are our responsibilities to our students, our colleagues, and to the broader Penn State community” We have all observed students at one time or another who have displayed symptoms of depression, anger, impulsive and erratic behavior, poor coping skills, low frustration tolerance, and periods of withdrawal and isolation. Many of us have received emails containing language suggestive of deeper, and often more potentially threatening behaviors. How do we identify the warning signs and intervene before someone engages in behavior that poses a threat to themselves or others? As educators, what are our responsibilities to our students, our colleagues, and to the broader Penn State community?

December 6th, 2012 (02:30pm - 05:00pm)
Seminar: CCMA PDEs and Numerical Methods Seminar Series
Title: A multigrid algorithm of Discontinuous Galerkin method
Speaker: Feiteng Huang
Location: MB216
December 6th, 2012 (03:35pm - 04:25pm)
Seminar: Department of Mathematics Colloquium
Title: Departmental meeting
Speaker: Y. Zheng
Location: MB114
December 7th, 2012 (12:20pm - 01:30pm)
Seminar: CCMA Luncheon Seminar
Title: Stokeslets
Speaker: Francisco-Javier Sayas, University of Delaware, Mathematics
Location: MB114

Stokeslet is a popular name for the fundamental solution of the Stokes equation. With a couple of pictures and some formulas, I will introduce this concept and how it is used for simulation of fluid flow around obstacles.

December 7th, 2012 (02:20pm - 03:20pm)
Seminar: Seminar on Probability and its Application
Title: Stochastic Integration of Two-Parameter Semimartingales and Weak Convergence II
Speaker: Brian Nowakowski, Penn State University
Location: MB106

This is a continuation of last week's talk (handouts are available). We present an extension of work by Jakubowski, Memin and Pages to the setting of stochastic processes with a multidimensional time parameter. In particular, we demonstrate that under suitable conditions, convergence of the pair (X_n,Y_n) to (X,Y) implies the convergence of \int Y_n dX_n to \int Y dX. An extension of the relevant topologies, as well as a new approach to multi-parameter stochastic integrals, will also be discussed.

December 7th, 2012 (03:35pm - 04:25pm)
Seminar: Computational and Applied Mathematics Colloquium
Title: Old and new problems on the discretization of the Stokes equation
Speaker: Francisco-Javier Sayas, University of Delaware, Mathematics
Location: MB106

In this talk, I will discuss on some results on the Stokes problem. I will first comment on the use of Darcy Boundary Conditions to simulate contact of viscous flow with porous media flow and what are the conditions that the separate discretizations of the Stokes and Darcy equations have to satisfy in order to build a stable numerical scheme. In passing, I will comment on a theoretical problem on the existence of a discrete lifting of the normal trace for the most popular mixed finite element spaces. I will then move on to discuss how exactly divergence free elements (or elements satisfying a certain gap condition) are apparently necessary to tackle simple-minded coupling of finite and boundary elements for Stokes flow. Time permitting, I will comment on new (theoretical and practical) ideas on discretization of time domain Stokes flow.

December 10th, 2012 (03:30pm - 05:30pm)
Seminar: Center for Dynamics and Geometry Seminars
Title: TBA
Speaker: Bryce Weaver, Indiana University, Bloomington
Location: MB106
December 11th, 2012 (11:15am - 12:05pm)
Seminar: Combinatorics/Partitions Seminar
Title: Knot q-series
Speaker: George Andrews, PSU
Location: MB106

Garoufalidis and Le have conjectured massive q-series identities suggested by invariants for the knots 3_1, 4_1 and 6_3. This talk will discuss their proofs and strategies for proofs of results like this in general.relying on Baruah and Sarmah's results as well as work of Srinivasa Ramanujan.

December 11th, 2012 (02:30pm - 03:45pm)
Seminar: Logic Seminar
Title: canceled
Speaker: no speaker
Location: MB315

We are canceling this week's Logic Seminar, because the time conflicts with the "Staff Appreciation of the Faculty" Tea, 2-4 PM, 114 McAllister.

December 11th, 2012 (03:30pm - 06:00pm)
Seminar: Working Seminar: Dynamics and its Working Tools
Title: Higher cohomology for group actions with hyperbolic structure, III.(tentative)
Speaker: Felipe Ramirez, University of Bristol
Location: MB216
December 12th, 2012 (03:35pm - 05:30pm)
Seminar: Center for Dynamics and Geometry Seminars
Title: Isometric Embeddings of Polyhedra
Speaker: Barry Minemyer, SUNY Binghamton
Location: MB106

In 1954-1956 John Nash solved the isometric embedding problem for Riemannian Manifolds. Some of his results were extended to manifolds endowed with an indefinite metric tensor by Greene and Gromov/Rokhlin independently in 1970. Our goal is to extend these results to polyhedra. In the first half of the talk we will discuss results due to Zalgaller, Krat, Brehm, and Akopyan about piecewise linear (abbreviated PL) path isometries from Euclidean polyhedra into Euclidean space. We will then use general position arguments, as well as tricks due to Nash and Petrunin, to show how these results can be extended to PL (and general) path isometric embeddings. In the second half of the talk we will generalize the definition of a Euclidean polyhedron to what is called a metric polyhedron. Results about simplicial and Pl isometric embeddings of metric polyhedra into Minkowski space (of an appropriate signature) will be discussed. If time permits we will present the proofs of these results.

December 13th, 2012 (09:00am - 10:10am)
Seminar: Mathematical Biology & Physiology Seminar
Title: mathematical biology seminar
Speaker: TBA, TBA
Location: MB114
Abstract: http://www.math.psu.edu/treluga/mmbs.html
December 13th, 2012 (02:30pm - 05:00pm)
Seminar: CCMA PDEs and Numerical Methods Seminar Series
Title: A multigrid algorithm of Discontinuous Galerkin method
Speaker: Feiteng Huang
Location: MB216
December 13th, 2012 (03:35pm - 04:25pm)
Seminar: Department of Mathematics Colloquium
Title: Probabilities of all real zeros for random polynomials
Speaker: Wenbo Li, University of Delaware
Location: MB114

There is a long history on the study of zeros of random polynomials whose coefficients are independent, identically distributed, non-degenerate random variables. We will first provide an overview on zeros of random functions and then show exact and/or asymptotic bounds on probabilities that all zeros of a random polynomial are real under various distributions. The talk is accessible to undergraduate and graduate students in any areas of mathematics.

December 14th, 2012 (02:20pm - 03:20pm)
Seminar: Seminar on Probability and its Application
Title: Small Value Probabilities and Applications
Speaker: Wenbo Li, University of Delaware
Location: MB106

Small value probabilities or small deviations study the decay probability that positive random variables behave near zero. In particular, small ball probabilities provide the asymptotic behavior of the probability measure inside a ball as the radius of the ball tends to zero. We will provide an overview and emphasis connections with several topics, including covering numbers, weaker Gaussian correlation inequality, random matrices, branching processes, first exit time estimates, and Laplace asymptotic of partition functions.