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Home » [HYBRID WORKSHOP] Introductory Workshop: The Analysis and Geometry of Random Spaces

Workshop

[HYBRID WORKSHOP] Introductory Workshop: The Analysis and Geometry of Random Spaces January 24, 2022 - January 28, 2022
Registration Deadline: February 09, 2022 8 months ago
To apply for Funding you must register by: December 01, 2021 10 months ago
Parent Program:
Location: MSRI: Simons Auditorium, Atrium
Organizers LEAD Mario Bonk (University of California, Los Angeles), Joan Lind (University of Tennessee), Steffen Rohde (University of Washington), Fredrik Viklund (Royal Institute of Technology)
Speaker(s)

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Description
Isingcriticalboundary
Interface for the critical Ising model, approaching an SLE curve in the scaling limit (image by Dr. Malin P. Forsström)
This will be a hybrid workshop with in-person participation by members of the semester-long program. Online participation will be open to all who register.  This workshop will introduce some of the major themes in probability and geometric analysis that will be relevant for the semester-long program. A series of short mini-courses will give participants the opportunity to learn about important subjects such as the Schramm-Loewner evolution (SLE) or the Gaussian free field (GFF), for example. The workshop will also include "visionary" lectures by prominent researchers who will outline fruitful directions for future research.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • Schramm-Loewner evolution

  • Gaussian free field

  • Liouville Quantum Gravity

  • Brownian loop measures

  • quasiconformal mappings

  • Loewner energy

  • Teichmüller spaces

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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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Jan 24, 2022
Monday
08:00 AM - 08:10 AM
  Welcome
08:10 AM - 09:00 AM
  An Elementary Introduction to Multiplicative Chaos
Eero Saksman (University of Helsinki)
09:10 AM - 10:00 AM
  Stochastic Analysis on Diff(S^1) Revisited
Maria Gordina (University of Connecticut)
10:20 AM - 11:10 AM
  Loewner Energy, SLE and Weil-Petersson Quasicircles
Wang Yilin (Massachusetts Institute of Technology)
11:40 AM - 12:30 PM
  Geodesics in the Brownian Map: Strong Confluence and Geometric Structure
Wei Qian (Université Paris-Saclay)
Jan 25, 2022
Tuesday
08:00 AM - 08:50 AM
  Loewner Dynamics for Real Rational Functions and the Multiple SLE(0) Process
Thomas Alberts (University of Utah)
09:00 AM - 09:50 AM
  Conformal Welding in Liouville Quantum Gravity
Nina Holden (ETH Zurich)
10:20 AM - 11:10 AM
  Gaussian Free Field: An Introduction
Nathanael Berestycki (University of Vienna)
11:40 AM - 12:30 PM
  An Elementary Introduction to Multiplicative Chaos Pt II
Eero Saksman (University of Helsinki)
Jan 26, 2022
Wednesday
08:30 AM - 09:20 AM
  Fractal Measures
Gregory Lawler (University of Chicago)
09:50 AM - 10:40 AM
  Gaussian Free Field: An Introduction Pt II
Nathanael Berestycki (University of Vienna)
11:10 AM - 12:00 PM
  A Pedagogical Introduction to Critical Percolation via the Hierarchical Lattice
Tom Hutchcroft (California Institute of Technology)
Jan 27, 2022
Thursday
08:00 AM - 08:50 AM
  Random Surfaces
Scott Sheffield (Massachusetts Institute of Technology)
09:00 AM - 09:50 AM
  A Pedagogical Introduction to Critical Percolation via the Hierarchical Lattice Pt II
Tom Hutchcroft (California Institute of Technology)
10:20 AM - 11:10 AM
  Removability of Planar Sets
Malik Younsi (University of Hawaii at Manoa)
11:40 AM - 12:30 PM
  Introduction to Liouville Conformal Field Theory
Rémi Rhodes (Université d'Aix-Marseille (AMU))
Jan 28, 2022
Friday
08:30 AM - 09:20 AM
  Introduction to Liouville Conformal Field Theory Pt II
Rémi Rhodes (Université d'Aix-Marseille (AMU))
09:50 AM - 10:40 AM
  Removability of Planar Sets Pt II
Malik Younsi (University of Hawaii at Manoa)
11:10 AM - 12:00 PM
  Random Conductances and the Chromatic Polynomial
Richard Kenyon (Brown University)