Home /  Introductory Workshop: New Frontiers in Curvature

Workshop

Introductory Workshop: New Frontiers in Curvature August 26, 2024 - August 30, 2024
Registration Deadline: September 18, 2024 27 days ago
To apply for Funding you must register by: May 26, 2024 5 months ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium, Online/Virtual, Front Courtyard, 2nd Floor Deck
Organizers Ailana Fraser (University of British Columbia), Karsten Grove (University of Notre Dame), Richard Schoen (Stanford University), Catherine Searle (Wichita State University), LEAD Lu Wang (Yale University)
Speaker(s)

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Description
Starter project   2019 11 25 12.18.26
The spatial Schwarzschild space with minimal surface boundary foliated by the inverse mean curvature flow
  This workshop will include introductory lectures on each of the four main topics of the program: geometric flows, geometric problems in mathematical relativity, global Riemannian geometry, and minimal submanifolds. The workshop will also have semi-expository lectures on recent advances and breakthroughs involving interactions between the four main topics. This will set the stage and provide important context for the semester-long program itself.  Bibliography Download a PDF flyer to share with your department, colleagues, or network
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • mean curvature flow

  • Ricci flow

  • fully nonlinear flows

  • general relativity

  • mass

  • Ricci curvature

  • scalar curvature

  • sectional curvature

  • symmetry

  • Riemannian geometry

  • group actions

  • minimal surfaces

  • stability and index

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 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.

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

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Schedule, Notes/Handouts & Videos
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Aug 26, 2024
Monday
09:15 AM - 09:30 AM
  Welcome to SLMath
09:30 AM - 10:30 AM
  Mass Minimization Problems in General Relativity, pt. 1
Lan-Hsuan Huang (University of Connecticut)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Complexities of the Second Variation of Minimal Surfaces of codimension greater than one, pt. 1
Mario Micallef (University of Warwick)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Spaces with Ricci curvature lower bounds, pt. 1
Guofang Wei (University of California, Santa Barbara)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Constructing solutions to curve shortening and related flows, pt. 1
Theodora Bourni (University of Tennessee)
Aug 27, 2024
Tuesday
09:30 AM - 10:30 AM
  Spaces with Ricci curvature lower bounds, pt. 2
Guofang Wei (University of California, Santa Barbara)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Complexities of the Second Variation of Minimal Surfaces of codimension greater than one, pt. 2
Mario Micallef (University of Warwick)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Mass Minimization Problems in General Relativity, pt. 2
Lan-Hsuan Huang (University of Connecticut)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Constructing solutions to curve shortening and related flows, pt. 2
Theodora Bourni (University of Tennessee)
04:30 PM - 06:20 PM
  Reception
Aug 28, 2024
Wednesday
09:30 AM - 10:30 AM
  Compactness theory of Ricci flows
Richard Bamler (University of California, Berkeley)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Harmonic maps and rigidity
Chikako Mese (Johns Hopkins University)
Aug 29, 2024
Thursday
09:30 AM - 10:30 AM
  Geometric evolution equations in General Relativity I
Gerhard Huisken (Math. Forschungsinstitut Oberwolfach; Eberhard-Karls-Universität Tübingen)
10:30 AM - 10:40 AM
  Group Photo
10:40 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Minimal surfaces I
Andre Neves (University of Chicago)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Defining mass and angular momentum in general relativity I
Mu-Tao Wang (Columbia University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Curvature and symmetry
Wolfgang Ziller (University of Pennsylvania)
Aug 30, 2024
Friday
09:30 AM - 10:30 AM
  Minimal surfaces II
Andre Neves (University of Chicago)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Initial value problems on cohomogeneity one manifolds
Wolfgang Ziller (University of Pennsylvania)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Defining mass and angular momentum in general relativity II
Mu-Tao Wang (Columbia University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Geometric evolution equations in General Relativity II
Gerhard Huisken (Math. Forschungsinstitut Oberwolfach; Eberhard-Karls-Universität Tübingen)