Home /  Introductory Workshop: Microlocal Analysis

Workshop

Introductory Workshop: Microlocal Analysis September 03, 2019 - September 06, 2019
Registration Deadline: September 06, 2019 over 5 years ago
To apply for Funding you must register by: June 03, 2019 over 5 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Pierre Albin (University of Illinois at Urbana-Champaign), LEAD Raluca Felea (Rochester Institute of Technology), Andras Vasy (Stanford University)
Speaker(s)

Show List of Speakers

Description
315 image1
Microlocal analysis provides tools for the precise analysis of problems arising in areas such as partial differential equations or integral geometry by working in the phase space, i.e. the cotangent bundle, of the underlying manifold. It has origins in areas such as quantum mechanics and hyperbolic equations, in addition to the development of a general PDE theory, and has expanded tremendously over the last 40 years to the analysis of singular spaces, integral geometry, nonlinear equations, scattering theory… This workshop will provide a comprehensive introduction to the field for postdocs and graduate students as well as specialists outside the field, building up from standard facts about the Fourier transform, distributions and basic functional analysis. Bibliography
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • Microlocal analysis

  • elliptic partial differential equations (PDE)

  • hyperbolic PDE

  • Fredholm theory

  • singular spaces

  • hyperbolic dynamical systems

  • scattering theory

  • resonances

  • quantum chaos

  • inverse problems

  • general relativity

  • quantum field theory

  • nonlinear PDE

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Funding & Logistics Show All Collapse

Show Funding

To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

Show Lodging

For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

Show Directions to Venue

Show Visa/Immigration

Show Reimbursement Guidelines

Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
Show All Collapse
Sep 03, 2019
Tuesday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Ps.d.o’s lecture 1
Andras Vasy (Stanford University), Xuwen Zhu (Northeastern University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Ps.d.o’s lecture 2
Andras Vasy (Stanford University), Xuwen Zhu (Northeastern University)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Ps.d.o’s lecture 3
Andras Vasy (Stanford University), Xuwen Zhu (Northeastern University)
02:30 PM - 03:30 PM
  Geom microlocal analysis lecture 1
Rafe Mazzeo (Stanford University)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Scattering theory lecture 1
Maciej Zworski (University of California, Berkeley)
Sep 04, 2019
Wednesday
09:30 AM - 10:30 AM
  FIO lecture 1
Raluca Felea (Rochester Institute of Technology), Allan Greenleaf (University of Rochester)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture on geometric microlocal analysis
Rafe Mazzeo (Stanford University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Lecture on hyperbolic dynamical systems
Semyon Dyatlov (Massachusetts Institute of Technology)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Scattering theory lecture 2
Maciej Zworski (University of California, Berkeley)
04:30 PM - 06:20 PM
  Reception
Sep 05, 2019
Thursday
09:30 AM - 10:30 AM
  Lecture on geometric microlocal analysis
Rafe Mazzeo (Stanford University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture on FIOs
Raluca Felea (Rochester Institute of Technology), Allan Greenleaf (University of Rochester)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Lecture on FIOs
Raluca Felea (Rochester Institute of Technology), Allan Greenleaf (University of Rochester)
02:30 PM - 03:30 PM
  Lecture on nonlinear waves
Peter Hintz (Massachusetts Institute of Technology)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Lecture on inverse problems
Gunther Uhlmann (University of Washington)
Sep 06, 2019
Friday
09:30 AM - 10:30 AM
  Lecture on quantum chaos
Nalini Anantharaman (Université de Strasbourg)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture on quantum field theory
Michał Wrochna (Université de Cergy-Pontoise)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Lecture on general relativity
Peter Hintz (Massachusetts Institute of Technology)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Scattering theory lecture 3
Maciej Zworski (University of California, Berkeley)