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.