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Home » Introductory Workshop: Microlocal Analysis

Workshop

Introductory Workshop: Microlocal Analysis September 03, 2019 - September 06, 2019
Registration Deadline: September 06, 2019 11 months from now
To apply for Funding you must register by: June 03, 2019 8 months from now
Parent Program:
Location: MSRI: Simons Auditorium, Atrium
Organizers Pierre Albin (University of Illinois at Urbana-Champaign), LEAD Raluca Felea (Rochester Institute of Technology), Andras Vasy (Stanford University)
Speaker(s)

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Description
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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.
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

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

Students, recent Ph.D.'s, 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.

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MSRI has a preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page. Click on "Promo/Corporate Code" at the top of the page and enter the code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
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Sep 03, 2019
Tuesday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Lecture on PSDOs
Andras Vasy (Stanford University), Xuwen Zhu (University of California, Berkeley)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture on PSDOs
Andras Vasy (Stanford University), Xuwen Zhu (University of California, Berkeley)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Lecture on geometric microlocal analysis
Rafe Mazzeo (Stanford University)
02:30 PM - 03:30 PM
  Lecture on scattering theory
Maciej Zworski (University of California, Berkeley)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Lecture on scattering theory
Maciej Zworski (University of California, Berkeley)
Sep 04, 2019
Wednesday
09:30 AM - 10:30 AM
  Lecture on PSDOs
Andras Vasy (Stanford University), Xuwen Zhu (University of California, Berkeley)
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 - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Lecture on scattering theory
Maciej Zworski (University of California, Berkeley)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Lecture on FIOs
Raluca Felea (Rochester Institute of Technology), Allan Greenleaf (University of Rochester)
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
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Lecture on hyperbolic dynamical systems
Semyon Dyatlov (University of California, Berkeley)
Sep 06, 2019
Friday
09:30 AM - 10:30 AM
  Lecture on general relativity
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture on quantum field theory
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Lecture on quantum chaos
Nalini Anantharaman (Université de Strasbourg)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Lecture on inverse problems
Gunther Uhlmann (University of Washington)