seminars:anal

## The Analysis Seminar

The seminar meets Wednesdays in WH-100E at 3:30-4:30 p.m. There are refreshments and snacks in WH-102 at 3:15.

The seminar is partly funded as one of Dean's Speaker Series in Harpur College (College of Arts and Sciences) at Binghamton University.

Organizers: Steven Gindi, Paul Loya, Xiangjin Xu and Gang Zhou

### Fall 2019

* August 28th, Wednesday (3:30-4:30pm)

Speaker :
Topic: organizational meeting

* September 4th, Wednesday (3:30-5:00pm)(No talk due Monday schedule)

Speaker :
Topic: No talk

Abstract:

* September 5th, Thursday (WH 309, 2:30-4:30pm)(Special time and location)

Speaker : David Cervantes-Nava (Binghamton University)

Abstract: TBD

* September 11th, Wednesday (3:30-4:55pm)

Speaker :
Topic:

Abstract:

* September 18th, Wednesday (4:00-5:00pm)

Speaker : Xiangjin Xu (Binghamton University)
Topic: Characterization of Carleson measures on compact manifolds with boundary

Abstract: On the subspaces of $L^2(M)$ generated by eigenfunctions of eigenvalues less than $L(>1)$ associated to the Dirichlet (Neumann) Laplace–Beltrami operator on a compact Riemannian manifold $(M,g)$ with boundary, we discuss some positive and negative results on the characterization of the Carleson measures and the Logvinenko–Sereda sets for Dirichlet (or Neumann) Laplacian on $M$, which generalized the corresponding results of J. Ortega-Cerda and B. Pridhnani on a compact boundaryless manifold (Forum Math.25 (2013), DOI 10.1515/FORM.2011.110).

* September 25th , Wednesday (3:30-4:55pm)

Speaker: Gang Zhou (Binghamton University)
Topic: The dynamics of effective equation of polaron

Abstract: Polaron theory is a model of an electron in a crystal lattice. It is studied in the framework of nonequilibrium statistic mechanics, and it has a lot of applications. In the recent year, jointly with Rupert Frank, we studied the quantum and classical models and obtained different results. Still there are open problems. In this talk I present the results for the dynamics of classical model.

* October 2nd, Wednesday (3:30-4:55pm)

Speaker:

Topic:

Abstract:

* October 9th, Wednesday (3:30-4:55pm)(Holiday, Yom Kippur)

Speaker:
Topic:

Abstract:

* October 17th, Thursday (1:00-2:00pm, WH 309) Note the special time and location

Speaker: Yuan Yuan, Syracuse University
Topic: Bergman projection on pseudoconvex domains

Abstract: Bergman projection plays important roles in function theory and d-bar Neumann problem on pseudoconvex domains. After giving a brief introduction to the general theory, I will focus on the boundedness of the Bergman projection in L^p spaces. This talk is based on joint work with Chen and Krantz.

* October 23rd, Wednesday (4:00-5:00pm)

Topic: The wraparound universe

Abstract: Cosmologists have been trying to determine the shape of the universe. Although most of the evidence says the universe is flat, it need not imply the universe looks like $R^3$. In this talk we discuss the most plausible candidates for the shape of the universe and how to go about detecting such models. Much of the studies into the shape of the the universe has been topological. I will present some new results on how to do analysis on them.

* October 30th, Wednesday (3:30-4:55pm)

Speaker:
Topic:

Abstract:

* November 6th, Wednesday (4:00-5:00pm)

Speaker: Alexis Drouot, Columbia University
Topic: Transport at interfaces of topological insulators

Abstract: In this talk, I consider a PDE modeling interface effects between insulators: a Schrodinger equation with periodic asymptotics (the bulk), away from a strip (the interface). I will state the bulk-edge correspondence. This theorem predicts that the interface between two topologically distinct insulators always conducts energy. I will illustrate it in the context of graphene; explain applications to robust waveguides; and provide dynamical interpretations.

* November 13th, Wednesday (4:00-5:00pm)

Speaker: Steven Gindi (Binghamton University)
Topic: Long Time Limits of Generalized Ricci Flow

Abstract: We derive modified Perelman-type monotonicity formulas for solutions to the generalized Ricci flow equation with symmetry on principal bundles. This leads to rigidity and classification results for nonsingular solutions.

* November 20th, Wednesday (3:30-4:55pm)

Speaker:
Topic:

Abstract:

* November 27th, Wednesday (3:30-4:55pm)(Thanksgiving break)

Speaker:
Topic:

Abstract:

* December 6th, Friday (2:00-3:00pm) (Special date and time)

Speaker: Cheng Zhang (University of Rochester)
Topic: Eigenfunction estimates of the fractional Laplacian on a bounded domain

Abstract: We will introduce the eigenvalue problem of the Dirichlet fractional Laplacian on a bounded domain in $R^n$. We obtained new interior $L^p$ estimates for the eigenfunctions by using latest results on sharp resolvent estimates, heat kernels, and commutator estimates. This is a joint work with Xiaoqi Huang and Yannick Sire (arXiv:1907.08107).