# Calendar

## Next Week

### Geometry Seminar, Nicholas Vlamis, University of Michigan, MATH 731

Monday, Nov 30 3:30 pm - 4:30 pm

## Automorphisms of the Compression Body Graph

Abstract: The compression body graph associated to a closed surface S is the graph whose vertices are compression bodies with exterior boundary S, and edges connect pairs of compression bodies where one contains the other. In joint work with Ian Biringer, we prove the automorphism group of the compression body graph is the mapping class group.

In the talk, I will give some background on compression bodies, talk about geometric properties of the compression body graph coming from the work of Maher-Schleimer, and then discuss the ideas behind the work mentioned above.

### Probability Seminar, Michael Perlmutter, Purdue University, REC 302

Tuesday, Dec 1 3:30 pm - 4:30 pm

## A METHOD OF ROTATIONS FOR LÉVY MULTIPLIERS

Abstract: We use a method of rotations to study the boundedness, , of Fourier multipliers which arise as the projection of martingale transforms with respect to symmetric stable processes, and other closely related Fourier multipliers which have potential applications to the study of boundedness of the Beurling-Ahlfors transform.

### Department of Mathematics Colloquium, Professor Xue-Mei Li, Warwick University, MATH 175

Tuesday, Dec 1 4:30 pm - 5:30 pm

## Perturbation to Conservation Laws

Abstract:Exploring symmetries leads us to work in homogeneous spaces. We discuss a family of stochastic interpolation equations on such spaces, reduction in complexity, and identifying scaling limits of a family of equations associated with inhomogeneous scaling of riemannian metrics.

A motivation is to have a dynamical description for convergence of manifolds. The other is to generalize stochastic perturbation theory for Hamiltonian system.

## Refreshments will be served in the Math Library Lounge at 4:00 p.m.

### Algebraic Geometry Seminar, Sai Kee Yeung, Purdue University, MATH 731

Wednesday, Dec 2 3:30 pm - 4:30 pm

## Surface of General Type With Maximal Canonical Degree

Abstract: It has been conjectured from a work of Beauville in the 70's that the maximal degree of the mapping given by the canonical sections of a surface of general type is 36. Earlier the largest such degree known was 16 from a work of Persson in 78. The purpose of the talk is to give an example confirming the conjecture. We would also explain a more recent joint-work with Ching-Jui Lai on further constructions and partial classification of such examples.

### Operator Algebras Seminar, Chenxu Wen, Vanderbilt University, MATH 731

Thursday, Dec 3 2:30 pm - 3:30 pm

## Popa's AOP and Amenable Extensions Inside II$_1$ Factors

Abstract: Popa introduced the notion of asymptotic orthogonality property (AOP) and used it to show the maximal amenability of the generator masa inside a free group factor. Since then it has become the most successful approach in studying maximal amenable subalgebras. In this talk I will explain usually how a stronger version of AOP leads to examples of unique maximal amenable extension inside II$_1$ factors.

### PDE Seminar, Professor Arpad Benyi, Western Washington University, REC 121

Thursday, Dec 3 3:30 pm - 4:30 pm

## Applications of Modulation Spaces

Abstract: We provide a brief introduction to the time-frequency analysis surrounding the so-called modulation spaces and indicate the applications of such an analysis to the boundedness of pseudo-differential operators and the regularity of PDEs. In particular, we will discuss the probabilistic Cauchy theory of the cubic non-linear Schrodinger equation on $\mathbb R^d, d\geq 3$.

### CCAM Lunch Seminar, Wen-wen Tung, Purdue University, REC 225

Friday, Dec 4 11:30 am - 12:30 pm

## Two Weeks

### Computational & Applied Mathematics Seminar, Professor Lin Lin, UC Berkeley, REC 108

Monday, Dec 7 3:30 pm - 4:30 pm

## Sharp Decay Properties of Discretized Green's Functions

Abstract: For a sparse, non-singular matrix, its inverse matrix is generally dense. However, for a class of matrices, the inverse matrix can decay fast along the off-diagonal direction. In the context of PDEs, the inverse matrices become Green's functions. The off-diagonal decay properties of Green's functions have profound implication in science and engineering applications. For instance, in quantum physics literature, this is related to the "near-sightedness principle" of electronic matters. In this talk we describe techniques for estimating the off-diagonal decay properties of Green's functions for Schrodinger type operators. We provide the first sharp decay estimate for discretized Green's functions obtained from the finite difference discretization, and from a variant of the pseudo-spectral discretization. The estimate is sharp in the sense that the asymptotic decay rate is independent of the domain size and of the discretization parameter. (Joint work with Jianfeng Lu)

### Probability Seminar, REC 302

Tuesday, Dec 8 3:30 pm - 4:30 pm

## 2016

### Computational & Applied Mathematics Seminar, Dr. Daozi Han, Indiana University, REC 225

Monday, Feb 1 3:30 pm - 4:30 pm

## TBA

### Department of Mathematics Colloquium, Professor Alex Furman, University of Illinois at Chicago, MATH 175

Tuesday, Feb 2 4:30 pm - 5:30 pm

## Refreshments will be served in the Math Library Lounge at 4:00 p.m.

### Computational & Applied Mathematics Seminar, Professor Bruce Boghosian, Tufts University, REC 225

Monday, Feb 8 3:30 pm - 4:30 pm

## TBA

### CCAM Seminar, Professor Mohsen Zayernouri, Michigan State University

Monday, Feb 15 3:30 pm - 4:30 pm

## TBA

### Computational & Applied Mathematics Seminar, Barry Lee, Southern Methodist University, REC 225

Monday, Feb 22 3:30 pm - 4:30 pm

## TBA

### Computational & Applied Mathematics Seminar, Professor Tao Lin, Virginia Tech, REC 225

Monday, Feb 29 3:30 pm - 4:30 pm

### Computational & Applied Mathematics Seminar, Professor Li-Shi Luo, Old Dominion University, REC 225

Monday, Mar 7 3:30 pm - 4:30 pm

### Computational & Applied Mathematics Seminar, Professor Andrew Noymer, UC Irvine

Wednesday, Mar 9 3:30 pm - 4:30 pm

TBA

### Grad Student Invited Colloquium, Professor Tara Holm, Cornell University, MATH 175

Tuesday, Mar 22 4:00 pm - 5:00 pm

### Department of Mathematics Colloquium, Professor Jim Gates, University of Maryland, MATH 175

Tuesday, Mar 29 4:30 pm - 5:30 pm

## Refreshments will be served in the Math Library Lounge at 4:00 p.m.

### Computational & Applied Mathematics Seminar, Professor Chao Yang , Lawrence Berkeley Lab, REC 225

Monday, Apr 4 3:30 pm - 4:30 pm

## TBA

### Computational & Applied Mathematics Seminar, David Bindel, Cornell University, REC 225

Monday, Apr 11 3:30 pm - 4:30 pm

## TBA

### Computational & Applied Mathematics Seminar, Professor Luoding Zhu, IUPUI, REC 225

Monday, Apr 18 3:30 pm - 4:30 pm

TBA

### CCAM Seminar, Professor Ching-Shan Chou, Ohio State University, REC 225

Monday, May 2 3:30 pm - 4:30 pm