Metric-S12

CUNY Graduate Center

Metric Geometry Reading Seminar

Metric Spaces, Gromov-Hausdorff Convergence...

The organizer of this seminar is Professor Sormani. The CUNY Graduate Center is located at 365 Fifth Avenue at 34th Street, diagonally across the street from the Empire State Building, just two blocks from Penn Station (NYC).

Spring 2012: Gromov-Hausdorff Convergence

We will follow Burago-Burago-Ivanov's Textbook for the first six meetings and then move on. All doctoral students are welcome.

  • Tuesday, 1/31 at 3:00 in 3207: Metric Spaces BBI 1.1-1.3 Wainwright

  • Tuesday, 2/7 at 1:30 in 4214-03: Completeness and Compactness BBI 1.4-1.6 Perales

  • Tuesday, 2/14 at 1:30 in 4214-03: Compactness Perales

  • Tuesday, 2/21: no seminar classes follow Monday schedule

  • Tuesday, 2/28 at 1:30 in 4214-03: Hausdorff Measures BBI 1.7 Perales

  • Tuesday, 3/6 at 3:00 in 3207: Hausdorff Dimension BBI 1.7 Perales

  • Tuesday, 3/13 at 3:00 in 3207: Lipschitz Distance BBI 7.1-7.2 Wainwright

  • Tuesday, 3/20 at 1:30 in 4214-03: Gromov-Hausdorff Distance BBI 7.3 Susse

  • Tuesday, 3/27 at 1:30 in 4214-03: Gromov-Hausdorff Distance BBI 7.3 Susse

  • Tuesday, 4/3 at 3:00 in 3207: Gromov-Hausdorff Distance BBI 7.3 Susse

  • Tuesday, 4/10: no seminar Spring Break

  • Tuesday 4/17: no meeting (submit homework 1.1-1.7)

  • Tuesday, 4/24 at 1:30 in 4214-03: Gromov's Compactness Theorem BBI 7.4 Perales

  • Tuesday, 5/1 at 3:00 in 3207: no meeting (double header in diff geom seminar)

  • Tuesday, 5/8 at 1:30 in 4214-03: no meeting

  • Starting on 5/15 we will be meeting 2-4 pm on Tuesdays (see below)

Summer 2012: Gromov-Hausdorff and Intrinsic Flat Convergence

(2-4 pm in 4214-03 on Tuesdays):

  • Tuesday, 5/15: Survey on Convergence [S] 2.1-2.2, 3.1-3.2 (Sormani)

  • & Differential Geometry Seminar at 3pm.

  • Tuesday, 5/22: Gromov's Embedding Theorem [Gromov] pp 64-65 (Susse)

  • & Intrinsic Flat Convergence [SW] Section 1 (Perales)

  • Tuesday, 5/29: Wilmore Conjecture (surprise visit from Neves)

  • & Integral Current Spaces [SW] Section 2 (Basilio)

  • Tuesday, 6/5: Compactness Thms & Intrinsic Flat Distance [SW] Sect 3 (Perales)

  • Tuesday, 6/12: Lipschitz and Intrinsic Flat Convergence [SW] Section 5, [LS] Sect 4 & Smooth Convergence away from Singular Sets [LS] (Lakzian)

  • Thursday, 6/14 (special time 4-6pm): Properties [SW] Section 4 (Basilio)

  • Tuesday, 6/19: no meeting

  • Thursday, 6/21 (special time 3-5pm): Cancellation and Filling Volume (Sormani)

  • Tuesday, 6/26: Detailed Examples [SW] Section 6 (Sormani)

  • Tuesday, 7/3: Fukaya's Metric Measure Convergence (Portegies)

  • Thursday, 7/10: (special time 3-5pm) Ricci Flow up to Singularities by Angenent, Caputo and Knopf [AK] (Lakzian)

  • Tuesday, 7/17 (special time 1-3pm): Ricci Flow through Singularities by Angenent, Caputo and Knopf [AK2][ACK] (Lakzian)

  • Tuesday, 7/19 (special time 1-3pm): Weak Mean Curvature Flow (Breiner)

  • Tuesday, 7/24: Ricci Flow through Singularities by Angenent, Caputo and Knopf [ACK] (Lakzian)

  • No meetings in August, we will resume in the Fall.