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Mathematical Sciences Research Institute

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Summer Graduate School

Geometry and Analysis July 28, 2014 - August 08, 2014
Parent Program: Differential Geometry
Location: MSRI: Simons Auditorium
Organizers Hans-Joachim Hein (Imperial College, London), LEAD Aaron Naber (Massachusetts Institute of Technology)
Lecturer(s)

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Speaker(s)

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Description

Geometric and complex analysis is the application of tools from analysis to study questions from geometry and topology.  This two week summer course will provide graduate students with the necessary background to begin studies in the area.  The first week will consist of introductory courses on geometric analysis, complex analysis, and Riemann surfaces.  The second week will consist of more advanced courses on the regularity theory of Einstein manifolds,  Kahler-Einstein manifolds, and the analysis of Riemann surfaces.

Syllabus

Bernstein Exercises 1

Bernstein Exercises 2

Bernstein Exercises 3

Hein Exercises 1

Hein Exercises 2

Hein Exercises 3

 


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Schedule
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Jul 28, 2014
Monday
09:15 AM - 09:30 AM
  Intro to MSRI
09:30 AM - 10:30 AM
  Lecture
Aaron Naber (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Jacob Bernstein (Johns Hopkins University)
12:00 PM - 02:00 PM
  Lunch Break
02:00 PM - 03:00 PM
  Lecture
Hans-Joachim Hein (Imperial College, London)
03:00 PM - 03:30 PM
  Tea Break
03:30 PM - 04:30 PM
  TA Session
Jul 29, 2014
Tuesday
09:30 AM - 10:30 AM
  Lecture
Aaron Naber (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Jacob Bernstein (Johns Hopkins University)
12:00 PM - 02:00 PM
  Lunch Break
02:00 PM - 03:00 PM
  Lecture
Hans-Joachim Hein (Imperial College, London)
03:00 PM - 03:30 PM
  Tea Break
03:30 PM - 04:30 PM
  TA Session
Jul 30, 2014
Wednesday
09:30 AM - 10:30 AM
  Lecture
Aaron Naber (Massachusetts Institute of Technology)
10:30 AM - 11:30 AM
  Lecture
Jacob Bernstein (Johns Hopkins University)
11:30 AM - 02:00 PM
  BBQ Lunch
02:00 PM - 03:00 PM
  Lecture
Hans-Joachim Hein (Imperial College, London)
03:00 PM - 03:30 PM
  Tea Break
03:30 PM - 04:30 PM
  TA Session
Jul 31, 2014
Thursday
09:30 AM - 10:30 AM
  Lecture
Aaron Naber (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Jacob Bernstein (Johns Hopkins University)
12:00 PM - 02:00 PM
  Lunch Break
02:00 PM - 03:00 PM
  Lecture
Hans-Joachim Hein (Imperial College, London)
03:00 PM - 03:30 PM
  Tea Break
03:30 PM - 04:30 PM
  TA Session
Aug 01, 2014
Friday
09:30 AM - 10:30 AM
  Lecture
Aaron Naber (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Jacob Bernstein (Johns Hopkins University)
12:00 PM - 02:00 PM
  Lunch Break
02:00 PM - 03:00 PM
  Lecture
Hans-Joachim Hein (Imperial College, London)
03:00 PM - 03:30 PM
  Tea Break
03:30 PM - 04:30 PM
  TA Session
Aug 04, 2014
Monday
09:30 AM - 10:30 AM
  Lecture
Aaron Naber (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Jacob Bernstein (Johns Hopkins University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Lecture
Hans-Joachim Hein (Imperial College, London)
03:00 PM - 03:30 PM
  Tea Break
03:30 PM - 04:30 PM
  TA Session
Aug 05, 2014
Tuesday
09:30 AM - 10:30 AM
  Lecture
Aaron Naber (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Jacob Bernstein (Johns Hopkins University)
12:00 PM - 02:00 PM
  Lunch Break
02:00 PM - 03:00 PM
  Lecture
Hans-Joachim Hein (Imperial College, London)
03:00 PM - 03:30 PM
  Tea Break
03:30 PM - 04:30 PM
  TA Session
Aug 06, 2014
Wednesday
09:30 AM - 10:30 AM
  Lecture
Aaron Naber (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Jacob Bernstein (Johns Hopkins University)
12:00 PM - 02:00 PM
  Lunch Break
02:00 PM - 03:00 PM
  Lecture
Hans-Joachim Hein (Imperial College, London)
03:00 PM - 03:30 PM
  Tea Break
03:30 PM - 04:30 PM
  TA Session
Aug 07, 2014
Thursday
09:30 AM - 10:30 AM
  Lecture
Aaron Naber (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Jacob Bernstein (Johns Hopkins University)
12:00 PM - 02:00 PM
  Lunch Break
02:00 PM - 03:00 PM
  Lecture
Hans-Joachim Hein (Imperial College, London)
03:00 PM - 03:30 PM
  Tea Break
03:30 PM - 04:30 PM
  TA Session
Aug 08, 2014
Friday
09:30 AM - 10:30 AM
  Lecture
Aaron Naber (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Lecture
Jacob Bernstein (Johns Hopkins University)
12:00 PM - 02:00 PM
  Lunch Break
02:00 PM - 03:00 PM
  Lecture
Hans-Joachim Hein (Imperial College, London)
03:00 PM - 03:30 PM
  Tea Break
03:30 PM - 04:30 PM
  TA Session