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Workshop

Kähler Geometry, Einstein Metrics, and Generalizations March 21, 2016 - March 25, 2016
Registration Deadline: March 21, 2016 6 months ago
To apply for Funding you must register by: December 21, 2015 9 months ago
Parent Program: Differential Geometry
Location: MSRI: Simons Auditorium, Atrium
Organizers Olivier Biquard (École Normale Supérieure), Simon Donaldson (Imperial College, London), Gang Tian (Princeton University), LEAD Jeff Viaclovsky (University of Wisconsin-Madison)
Speaker(s)

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Description

The workshop will integrate elements from complex differential geometry with Einsten metrics and their generalizations. The topics will include

  • Existence of Kähler-Einstein metrics and extremal Kähler metrics. Notions of stability in algebraic geometry such as Chow stability, K-stability, b-stability, and polytope stability. Kähler-Einstein metrics with conical singularities along a divisor.

  • Calabi-Yau metrics and collapsed limit spaces. Connections with physics and mirror symmetry.

  • Einstein metrics and their moduli spaces, ε-regularity, noncompact examples such as ALE, ALF, and Poincaré -Einstein metrics. Generalizations of the Einstein condition, such as Bach-flat metrics and Ricci solitons.

  • Sasaki-Einstein metrics and metrics with special holonomy. New examples and classification problems

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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 preferred rates at the Rose Garden Inn, depending on room availability. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on "Promo/Corporate Code" at the top of the page. When prompted, select the "Promo/Corporate Code" option and enter the code MATH (this code is not case sensitive). By using this code, a new calendar will appear an will show the MSRI rate on all room types available. Click the gold "View Full Calendar" button to see the lowest rate for each day.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link. Click on "Promo/Corporate Code" at the top of the page. When prompted, select the "Promo/Corporate Code" option and enter the code 123MSRI (this code is not case sensitive).

MSRI has a preferred rate 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 Inst. discount. To book online visit this page. You must select "My dates are: Firm" in order to use the promotional code. Click on "Promo/Corporate Code" at the top of the page. When prompted, select the "Promo/Corporate Code" option and enter the 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 “I am an individual traveler 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. Easton Hall select "Request a Reservation" pick the dates you would like to stay, once you are ready to reserve use the Promotional 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
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Mar 21, 2016
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Holomorphic fibrations on Calabi-Yau manifolds and collapsing
Valentino Tosatti (Northwestern University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Foliations with positive slopes and stability of cotangent bundle
Mihai Paun (Korea Institute for Advanced Study (KIAS))
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Tian's properness conjectures
Yanir Rubinstein (University of Maryland)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Kähler-Einstein metrics and higher alpha-invariants
Heather Macbeth (Massachusetts Institute of Technology)
Mar 22, 2016
Tuesday
09:30 AM - 10:30 AM
  Manifolds of bounded Ricci curvature and the codimension $4$ conjecture
Jeff Cheeger (New York University, Courant Institute)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Disconnecting the G_2 moduli space
Johannes Nordstrom (University of Bath)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Infinite dimensional geometries on the space of Kahler metrics and applications to canonical metrics
Tamas Darvas (University of Maryland)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Kähler Ricci flow on Fano manifold
Bing Wang (University of Wisconsin-Madison)
04:30 PM - 06:20 PM
  Reception
Mar 23, 2016
Wednesday
09:30 AM - 10:30 AM
  Compactness of conformally compact Einstein manifolds in dimension 4
Sun-Yung Chang (Princeton University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Asymptotically Conical Calabi-Yau manifolds
Ronan Conlon (Université du Québec à Montréal)
Mar 24, 2016
Thursday
09:30 AM - 10:30 AM
  L^2 Curvature Bounds on Manifolds with Bounded Ricci Curvature
Aaron Naber (Northwestern University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  New Donaldson-Thomas type invariants counting coherent sheaves on Calabi-Yau 4-folds
Dominic Joyce (University of Oxford)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Duality between the pseudoeffective and the movable cone on a projective manifold
David Witt Nystrom (Chalmers University of Technology)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Gromov-Hausdorff collapse of Calabi-Yau manifolds
Mark Gross (University of Cambridge)
Mar 25, 2016
Friday
09:30 AM - 10:30 AM
  ALF gravitational instantons and collapsing Ricci-flat metrics on the K3 surface
Lorenzo Foscolo (State University of New York, Stony Brook)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Stability of weak solutions of the complex Monge-Ampere equation on compact Hermitian manifolds
Slawomir Kolodziej (Jagiellonian University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The Hilbert--Einstein functional and the Sasaki-Futaki invariant
Eveline Legendre (Université de Toulouse III (Paul Sabatier))
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Fano-Ricci limit spaces and spectral convergence
Akito Futaki (University of Tokyo)