Winter Semester 2005-06

Seminar on Geometric Heat Flows: Talk Schedule


Talk 1: Samuel Defago, November 3, 2005
The Li-Yau Differential Harnack Inequality
  • Li-Yau: On the parabolic kernel of the Schrödinger operator, 412-416, 422-425
  • Müller: Differential Harnack inequalities for parabolic equations, 13-19
     
  • Talk 2: Robert Haslhofer, November 10, 2005
    The Matrix Harnack Inequality
  • Hamilton: A matrix Harnack estimate for the heat equation, 113-115, 123-126
  • Hamilton: Four-manifolds with positive curvature operator, 158-163
  • Müller: Differential Harnack inequalities for parabolic equations, 19-24
     
  • Talk 3: Andrea Cantieni, November 17, 2005
    Introduction to the Mean Curvature Flow
  • Ecker: Lectures on regularity for mean curvature flow, Chap 1, 3-11
  • Huisken: Local and global behavior of hypersurfaces moving by mean curvature, 1-8
  • White: Evolution of curves and surfaces moving by mean curvature, 1-6
  • Ilmanen: Lectures on mean curvature flow and related equations, 1-11
     
  • Talk 4: Martin Jaggi, November 24/December 1, 2005
    Evolution of Curvature and Other Quantities
  • Huisken: Flow by mean curvature of convex surfaces into spheres, 237-239, 242-244,244-245
     
  • Talk 5: Steven Kaufmann, December 1/8, 2005
    Monotonicity Formula and Solitons
  • Huisken: Asymptotic behavior for singularities of the mean curvature flow, 1-9
  • Ilmanen: Lectures on mean curvature flow and related equations, 4-11, 26-29
  • Huisken: Local and global behavior of hypersurfaces moving by mean curvature, 13-15
  • Ecker: Lectures on regularity for mean curvature flow, Chap 3, 31-34
     
  • Talk 6: Alain Hauser, December 8/15, 2005
    The Harnack Inequality for Mean Curvature Flow
  • Hamilton: The Harnack inequality for the mean curvature flow, 1-13
     
  • Talk 7: Dino Burger, December 22, 2005
    Introduction to the Ricci Flow
  • Topping: Lectures on Ricci flow, Chap 1, 6-10
  • Chow, Cao: Recent Developments on the Ricci Flow, 1-11
  • Hamilton: The Formation of Singularities in the Ricci Flow1-3, 6-8
  • Kapovich: Geometrization Conjecture and the Ricci Flow
     
  • Talk 8: Julian Jordi, January 12, 2005
    Evolution of Curvature and Other Quantities
  • Müller: Differential Harnack inequalities for parabolic equations, 1-4, 6-8
  • Hamilton: Three-manifolds with positive Ricci curvature, 257-259, 273-276
  • Chow-Knopf: The Ricci Flow: An Introduction, 109-111
     
  • Talk 9: Panagiotis Adamantidis, January 19, 2005
    Ricci Solitons
  • Müller: Differential Harnack inequalities for parabolic equations, 8-12
  • Topping: Lectures on Ricci flow, 8-10
     
  • Talk 10: Reto Müller, January 26, 2005
    Perelman's Functional
  • Müller: Differential Harnack inequalities for parabolic equations
     



  • T. Ilmanen, Math Dept, ETH, October 2005