Home /  Introductory Workshop: Modern Riemannian Geometry

Workshop

Introductory Workshop: Modern Riemannian Geometry January 18, 2016 - January 22, 2016
Registration Deadline: January 18, 2016 almost 9 years ago
To apply for Funding you must register by: October 18, 2015 about 9 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Commons Room, Atrium
Organizers LEAD Tobias Colding (Massachusetts Institute of Technology), John Lott (University of California, Berkeley), Jeff Viaclovsky (University of California, Irvine)
Speaker(s)

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Description
The week will be devoted to an introduction to modern techniques in Riemannian geometry. This is intended to help graduate students and younger researchers get a headstart, in order to increase their participation during the main semester programs and research lectures. To increase outreach, the week will focus on Riemannian geometry and should be largely accessible. Some minicourses on topics of recent interest will be included. The workshop will also have semi-expository lectures dealing with aspects of spaces with curvature bounded from below, since such spaces will occur throughout the semester. We expect that many Berkeley mathematicians and students will participate in the introductory workshop. Group Photo  
Keywords and Mathematics Subject Classification (MSC)
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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Jan 18, 2016
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Manifolds with lower sectional curvature bounds and Alexandrov geometry
Karsten Grove (University of Notre Dame)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Comparison geometry for Ricci curvature I
Guofang Wei (University of California, Santa Barbara)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Ricci flat spaces and metrics with special or exceptional holonomy I
Mark Haskins (Duke University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Aspects of Einstein metrics on 4-manifolds I
Michael Anderson (State University of New York, Stony Brook)
Jan 19, 2016
Tuesday
09:30 AM - 10:30 AM
  Mean curvature flow
Tobias Colding (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Positively and non-negatively curved manifolds and (torus) symmetries
Catherine Searle (Wichita State University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Metric measure spaces satisfying Ricci curvature lower bounds I
Andrea Mondino (University of Warwick)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Semiconcave functions in Alexandrov geometry
Vitali Kapovitch (University of Toronto)
04:30 PM - 06:20 PM
  Reception
Jan 20, 2016
Wednesday
09:30 AM - 10:30 AM
  A panoramic glimpse of nonnegative curvature
Karsten Grove (University of Notre Dame)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Comparison geometry for Ricci curvature II
Guofang Wei (University of California, Santa Barbara)
Jan 21, 2016
Thursday
09:30 AM - 10:30 AM
  Ricci flat spaces and metrics with special or exceptional holonomy II
Mark Haskins (Duke University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Aspects of Einstein metrics on 4-manifolds II
Michael Anderson (State University of New York, Stony Brook)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The maximal symmetry rank conjecture for nonnegative curvature
Catherine Searle (Wichita State University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Minimal submanifolds and lower curvature bounds I
Richard Schoen (Stanford University)
Jan 22, 2016
Friday
09:30 AM - 10:30 AM
  Minimal submanifolds and lower curvature bounds II
Richard Schoen (Stanford University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Mean curvature flow
Tobias Colding (Massachusetts Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Metric measure spaces satisfying Ricci curvature lower bounds II
Andrea Mondino (University of Warwick)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Measure-metric boundary and Liouville theorem in Alexandrov geometry
Vitali Kapovitch (University of Toronto)