Summer Graduate School

Geometry and Analysis

July 28, 2014 - August 08, 2014

Parent Program:	Differential Geometry
Location:	SLMath: Eisenbud Auditorium

Organizers

Hans-Joachim Hein (Imperial College, London), LEAD Aaron Naber (Northwestern University)

Lecturer(s)

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Jacob Bernstein (Johns Hopkins University)
Hans-Joachim Hein (Imperial College, London)
Aaron Naber (Northwestern University)

Teaching Assistants(s)

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Otis Chodosh (Stanford University)
Heather Macbeth (Fordham University at Lincoln Center)

Speaker(s)

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Jacob Bernstein (Johns Hopkins University)
Hans-Joachim Hein (Imperial College, London)
Aaron Naber (Northwestern University)

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

Bernstein Exercises 4

Bernstein Exercises 5

Bernstein Exercises 6

Bernstein Exercises 7

Hein Exercises All

Keywords and Mathematics Subject Classification (MSC)

Primary Mathematics Subject Classification

53Cxx - Global differential geometry [See also 51H25, 58-XX] {For related bundle theory, see 55Rxx, 57Rxx}

Secondary Mathematics Subject Classification

58Jxx - Partial differential equations on manifolds; differential operators [See also\newline 32Wxx, 35-XX, 53Cxx]

Funding & Logistics Show All Collapse

MSRI Collegiality Statement

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Map & Directions to SLMath

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Schedule, Notes/Handouts & Videos

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Jul 28, 2014
Monday

09:15 AM - 09:30 AM		Intro to MSRI
Location -- Video -- Abstract -- Supplements -- Show Detail
09:30 AM - 10:30 AM		Lecture Aaron Naber (Northwestern University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
10:30 AM - 11:00 AM		Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
11:00 AM - 12:00 PM		Lecture Jacob Bernstein (Johns Hopkins University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Lecture Hans-Joachim Hein (Imperial College, London)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		TA Session
Location SLMath: Eisenbud Auditorium Video -- Abstract -- Supplements -- Show Detail

Jul 29, 2014
Tuesday

09:30 AM - 10:30 AM		Lecture Aaron Naber (Northwestern University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
10:30 AM - 11:00 AM		Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
11:00 AM - 12:00 PM		Lecture Jacob Bernstein (Johns Hopkins University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Lecture Hans-Joachim Hein (Imperial College, London)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		TA Session
Location SLMath: Eisenbud Auditorium Video -- Abstract -- Supplements -- Show Detail

Jul 30, 2014
Wednesday

09:30 AM - 10:30 AM		Lecture Aaron Naber (Northwestern University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
10:30 AM - 11:30 AM		Lecture Jacob Bernstein (Johns Hopkins University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
11:30 AM - 02:00 PM		BBQ Lunch
Location Tilden Park (The Willows) Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Lecture Hans-Joachim Hein (Imperial College, London)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		TA Session
Location SLMath: Eisenbud Auditorium Video -- Abstract -- Supplements -- Show Detail

Jul 31, 2014
Thursday

09:30 AM - 10:30 AM		Lecture Aaron Naber (Northwestern University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
10:30 AM - 11:00 AM		Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
11:00 AM - 12:00 PM		Lecture Jacob Bernstein (Johns Hopkins University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Lecture Hans-Joachim Hein (Imperial College, London)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		TA Session
Location SLMath: Eisenbud Auditorium Video -- Abstract -- Supplements -- Show Detail

Aug 01, 2014
Friday

09:30 AM - 10:30 AM		Lecture Aaron Naber (Northwestern University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
10:30 AM - 11:00 AM		Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
11:00 AM - 12:00 PM		Lecture Jacob Bernstein (Johns Hopkins University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Lecture Hans-Joachim Hein (Imperial College, London)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		TA Session
Location SLMath: Eisenbud Auditorium Video -- Abstract -- Supplements -- Show Detail

Aug 04, 2014
Monday

09:30 AM - 10:30 AM		Lecture Aaron Naber (Northwestern University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
10:30 AM - 11:00 AM		Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
11:00 AM - 12:00 PM		Lecture Jacob Bernstein (Johns Hopkins University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Lecture Hans-Joachim Hein (Imperial College, London)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		TA Session
Location SLMath: Eisenbud Auditorium Video -- Abstract -- Supplements -- Show Detail

Aug 05, 2014
Tuesday

09:30 AM - 10:30 AM		Lecture Aaron Naber (Northwestern University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
10:30 AM - 11:00 AM		Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
11:00 AM - 12:00 PM		Lecture Jacob Bernstein (Johns Hopkins University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Lecture Hans-Joachim Hein (Imperial College, London)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		TA Session
Location SLMath: Eisenbud Auditorium Video -- Abstract -- Supplements -- Show Detail

Aug 06, 2014
Wednesday

09:30 AM - 10:30 AM		Lecture Aaron Naber (Northwestern University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
10:30 AM - 11:00 AM		Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
11:00 AM - 12:00 PM		Lecture Jacob Bernstein (Johns Hopkins University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Lecture Hans-Joachim Hein (Imperial College, London)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		TA Session
Location SLMath: Eisenbud Auditorium Video -- Abstract -- Supplements -- Show Detail

Aug 07, 2014
Thursday

09:30 AM - 10:30 AM		Lecture Aaron Naber (Northwestern University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
10:30 AM - 11:00 AM		Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
11:00 AM - 12:00 PM		Lecture Jacob Bernstein (Johns Hopkins University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Lecture Hans-Joachim Hein (Imperial College, London)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		TA Session
Location SLMath: Eisenbud Auditorium Video -- Abstract -- Supplements -- Show Detail

Aug 08, 2014
Friday

09:30 AM - 10:30 AM		Lecture Aaron Naber (Northwestern University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
10:30 AM - 11:00 AM		Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
11:00 AM - 12:00 PM		Lecture Jacob Bernstein (Johns Hopkins University)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Lecture Hans-Joachim Hein (Imperial College, London)
Location SLMath: Eisenbud Auditorium Video Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location SLMath: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		TA Session
Location SLMath: Eisenbud Auditorium Video -- Abstract -- Supplements -- Show Detail