# Waves, Spectral Theory and Applications – Part 2: October 20th-22nd, 2017

This is an NSF funded conference to be held at the University of North Carolina, Chapel Hill – co-organized by Jeremy Marzuola (UNC), Roy Goodman (NJIT) and Panos Kevrekidis (UMASS).

**Registration:**

Waves, Spectral Theory, and Applications Registration

Pay for Registration Fee and/or Dinner Online.

## Speaker List:

David Ambrose (Drexel)

Ben Harrop-Griffiths (NYU)

Peter Hintz (MIT)

Peter Hislop (Kentucky)

Benoit Pausader (Brown)

Dmitry Pelinovsky (McMaster)

Nancy Rodriguez (UNC)

Christof Sparber (UIC)

Atanas Stefanov (Kansas)

Chongchun Zeng (Georgia Tech)

## Breakout Sessions (In Progress):

- PT Symmetry with Ziad Musslimani
- Maslov Indices in PDE problems with Graham Cox
- Metric and Discrete Graphs with Greg Berkolaiko
- Microlocal methods in Wave Equations
- Modified Energy methods in Quasilinear PDE with Ben Harrop-Griffiths
- Random Schrödinger Operators

## Conference Schedule:

Friday, October 20th:

9-9:30 AM, Phillips Hall 330: Coffee and Welcome, Registration Information

9:30-10:15 AM, Phillips Hall 332: Peter Hislop

10:15-10:45 AM, Phillips Hall 330: Coffee

10:45 AM-11:30 AM,Phillips Hall 330: Atanas Stefanov

11:30 AM-1:00 PM: Lunch

1:00-2:30 PM, Phillips Hall 367 and 381: Breakout Sessions – Maslov Indices in PDE & Random Schrödinger

2:30-3:00 PM, Phillips Hall 330: Coffee

3:00-3:45 PM, Phillips Hall 332: Dmitry Pelinovsky

4:00-4:45 PM, Phillips Hall 332:Nancy Rodriguez

6:00-9:00 PM, Venable Bistro in Carrboro: Conference Dinner

Saturday, October 21st:

9:00-9:45 AM, Phillips Hall 332: Chongchun Zeng

9:45-10:15 AM, Phillips Hall 330: Coffee

10:15 AM-11:00 AM, Phillips Hall 332: Christof Sparber

11:00 AM-12:00 PM, Phillips Hall 330: Poster Session Walk-Throughs

12:00 PM -1:00 PM: Lunch

1:00-2:30 PM, Phillips Hall 367 and 383: Breakout Sessions – Quantum Graphs & PT Symmetry

2:30-3:00 PM, Phillips Hall 330: Coffee

3:00-3:45 PM, Phillips Hall 332: Benoit Pausader

4:00-4:45 PM, Phillips Hall 332: David Ambrose

Sunday, October 22nd:

9:00-9:45 AM, Phillips Hall 332: Peter Hintz

9:45-10:15 AM, Phillips Hall 330: Coffee

10:15 AM-11:00 AM, Phillips Hall 332: Ben Harrop-Griffiths

11:00 AM-12:00 PM, Phillips Hall 330: Poster Session Walk-Throughs

12:00 PM -1:00 PM: Lunch

1:00-2:30 PM, Phillips Hall 367 and 381: Breakout Sessions – Microlocal Methods in Waves & Modified Energy Methods

2:30-3:00 PM, Phillips Hall 330: Coffee

### Accommodations:

We have reserved a block of rooms at the Hampton Inn. To book directly at the conference rate, click here. Unless you are a graduate student or postdoc for whom it would be a financial hardship, please make your own hotel reservations. Those who are approved for funding will be reimbursed.

Hotel options include the following places regularly used by the department:

University Inn: http://www.chapelhilluniversityinn.com/

Hampton Inn: http://hamptoninn3.hilton.com/en/hotels/north-carolina/hampton-inn-and-suites-chapel-hill-carrboro-downtown-RDUCOHX/index.html

Sheraton Inn: http://www.sheratonchapelhill.com/

See also the UNC Visitor’s Office Recommendations.

## Funding Information:

Supported by NSF DMS-1536072.

The previous workshop information can be found at

https://sites.google.com/site/wavesandspectraltheory/

**Titles and Abstracts:**

David Ambrose:

Benjamin Harrop-Griffiths:

Peter Hintz:

Abstract: We consider scattering by star-shaped obstacles in hyperbolic space and show that resonances satisfy a universal bound $\Im\lambda\leq -1/2$; in odd dimensions and for small obstacles with diameter $\rho$, we improve this to $\Im\lambda < -C/\rho$ for a universal constant $C$. Our proofs largely rely on the classical vector field approach of Morawetz. We also explain how to relate resonances for small obstacles to scattering resonances in Euclidean space. This talk is based on joint work with Maciej Zworski.

Peter Hislop:

Benoit Pausader:

Dmitry Pelinovsky:

Nancy Rodriguez:

Christof Sparber:

Atanas Stefanov:

Chongchun Zeng: