Graduate Student Geometry and PDE Seminar

Fall 2012

Organizer: Tristan Collins

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For the Fall of 2012, the seminar will be focusing primarily on harmonic maps and their heat flows. The seminar meets on Mondays, from 4-5pm in Math 507. Below, we use 'L-W' to refer to the book The Analysis of Harmonic Maps and Their Heat Flows, by Fanghua Lin and Changyou Wang.

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Schedule

September 10, 2012
Organizational Meeting

• September 17, 2012
  Tristan Collins - Introduction to harmonic maps - Chapter 1 of L-W - Notes

• September 24,2012
  Tristan Collins - Minimizing harmonic maps in dimension 2 - Section 2.1 of L-W - Notes

• October 1, 2012
  Alex Waldron - Minimizing harmonic maps - Section 2.2 of L-W

• October 8, 2012
  Alex Waldron - Minimizing harmonic maps - Section 2.2 of L-W

• October 15, 2012
  Connor Mooney - Federer's dimension reduction principle - Section 2.3 of L-W

• October 22, 2012
  Dan Rubin - Weakly harmonic maps into regular balls - Section 3.1 of L-W

• October 29, 2012
  Dan Rubin - Weakly harmonic maps in dimension 2 - Section 3.2 of L-W

• November 5, 2012
  Karsten Gimre - Stationary harmonic maps in higher dimensions - Section 3.3 of L-W

• November 12,2012
  Karsten Gimre - Blow up analysis of stationary harmonic maps - Section 4.1 of L-W

• November 19, 2012
  Karsten Gimre - Rectifiability of defect measures - Section 4.2 of L-W

• November 26, 2012
  Donovan McFeron - The Kahler-Ricci flow and K-polystability - Reference

• December 3, 2012
  Thomas Nyberg - Regularity of weak solutions of a CMA equation - Reference

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Schedule and notes from past years:

Spring 2011 - Fall 2011- Spring 2012