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Home » The Analysis and Geometry of Random Spaces

Workshop

The Analysis and Geometry of Random Spaces March 28, 2022 - April 01, 2022
Registration Deadline: April 01, 2022 8 months ago
To apply for Funding you must register by: January 28, 2022 10 months ago
Parent Program:
Location: MSRI: Simons Auditorium, Atrium
Organizers Nikolai Makarov (California Institute of Technology), LEAD Steffen Rohde (University of Washington), Eero Saksman (University of Helsinki), Amanda Turner (University of Lancaster), Fredrik Viklund (Royal Institute of Technology), Jang-Mei Wu (University of Illinois at Urbana-Champaign)
Speaker(s)

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Description
Image3
Image by Prof. Amanda Turner
The aim of this workshop is to bring together researchers whose work contributes to the study of random structures that exhibit some form of conformal self-similarity. Notable examples include the Schramm-Loewner evolution SLE, the Brownian map and random trees, Liouville Quantum Gravity, and Conformal Field Theory. A particular focus will be the discussion of analytic tools needed to address the challenges arising from the often rough underlying sets and spaces.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • random conformal geometry

  • self-similar random systems

  • Schramm-Loewner evolution

  • conformal field theory

  • Liouville Quantum Gravity

  • Gaussian free field

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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Mar 28, 2022
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Geometry, Universality and Beltrami Complex Structure for Scaling Limits of Random Dimer Coverings
Kari Astala (University of Helsinki)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Integrability of SLE via Conformal Welding of Random Surfaces
Nina Holden (ETH Zurich)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The Loewner Equation with Complex-Valued Driving Functions
Joan Lind (University of Tennessee)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Some Progress on 3D Yang-Mills
Sourav Chatterjee (Stanford University)
Mar 29, 2022
Tuesday
09:30 AM - 10:30 AM
  Random Weierstrass Zeta-Functions
Mikhail Sodin (Tel Aviv University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Random Clusters in the Villain Model
Julien Dubedat (Columbia University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  On Log-CFT for Uniform Spanning Trees and SLE(8)
Eveliina Peltola (Rheinische Friedrich-Wilhelms-Universität Bonn)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Critical Liouville Quantum Gravity and Brownian Half-Plane Excursions
Ellen Powell (University of Durham)
04:30 PM - 06:20 PM
  Reception
Mar 30, 2022
Wednesday
09:30 AM - 10:30 AM
  Loewner Evolution Driven by Complex Brownian Motion
Ewain Gwynne (University of Chicago)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Conformally Invariant Random Geometry on Riemannian Manifolds of Even Dimension
Karl-Theodor Sturm (Universität Bonn)
Mar 31, 2022
Thursday
09:30 AM - 10:30 AM
  Stability of Regularized Hastings-Levitov Aggregation in the Subcritical Regime
Amanda Turner (University of Lancaster)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Plumbing Liouville Theory
Antti Kupiainen (University of Helsinki)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Conformal Structures on Random Fractal Surfaces Arising from Subdivision Rules
Peter Lin (State University of New York, Stony Brook)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Scattering of Harmonic Functions and Forms in Quasicircles
Eric Schippers (University of Manitoba)
Apr 01, 2022
Friday
09:30 AM - 10:30 AM
  Approximations of Liouville Brownian Motion
Zhen-Qing Chen (University of Washington)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  The Moduli of Annuli in Random Conformal Geometry
Xin Sun (University of Pennsylvania)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Conformal Field Theory for Multiple Schramm-Loewner Evolutions
Nam-Gyu Kang (Korea Institute for Advanced Study (KIAS))
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Jordan Curves with the Piecewise Geodesic Property
Wang Yilin (Massachusetts Institute of Technology)