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Seminars and Colloquiums
for the week of March 4, 2019


SPEAKERS

Monday
Ryan Unger, University of Tennessee
Wednesday
Cheng Chu, Vanderbilt University
Steve Wise, University of Tennessee
Thursday
Andre Neves, University of Chicago
Friday
Andre Neves, University of Chicago


TEA TIME - Canceled
3:00 PM – 3:30 PM
Monday, Tuesday & Wednesday
Room: Ayres 401
Hosted by:
Topics:



Monday, 3/4

GEOMETRIC ANALYSIS READING SEMINAR
TITLE: Fine time extinction of Ricci flow with bubbling off II
SPEAKER: Ryan Unger, University of Tennessee
TIME: 3:35 PM-5:30 PM
ROOM: Ayres 113
I will continue with the proof of finite time extinction for irreducible manifolds with nonzero pi_3.

Wednesday, 3/6

ANALYSIS SEMINAR
TITLE: Reducing Subspaces of de Branges-Rovnyak Spaces
SPEAKER: Cheng Chu, Vanderbilt University
TIME: 2:30 PM-3:20 PM
ROOM: Ayres 113
The de Branges-Rovnyak space H(b) is a Hilbert space contractively contained in the Hardy space of the unit disk that is invariant under the backward shift operator. We study reducing subspaces of the square of backward shift operator on H(b).

Douglas and Foias considered the problem when b is an inner function. We use another approach to extend their result to the case where b is an extreme function.

COMPUTATIONAL and APPLIED MATHEMATICS (CAM) SEMINAR
TITLE: Convergence Analyses of some Nonlinear Multi-Level Algorithms for Non-Quadratic Convex Optimization Problems via Space Decomposition and Subspace Correction, Part IV of IV
SPEAKER: Steve Wise, University of Tennessee
TIME: 3:35 PM-4:25 PM
ROOM: Ayres 113
Nonlinear multi-level methods, such as the full approximation storage (FAS) multigrid scheme, are widely used solvers for nonlinear problems. In this paper, a new framework to analyze FAS-type methods for convex optimization problems is developed. FAS can be recast as an inexact version of a nonlinear multigrid method based on space decomposition and subspace correction, namely the successive subspace optimization (SSO) method of Jinchao XU and coauthors. The theory is quite general and is an abstraction of both SSO and the preconditioned steepest descent (PSD) method. In our algorithm, we show that the local problem in each subspace can be simplified to be linear and one gradient decent iteration is enough to ensure linear convergence of the FAS scheme. In Part I, I will introduce the terminology and primary assumptions, and we will give an improved convergence result for SSO in a Hilbert space setting. Then we will motivate and define the generalized FAS algorithm.

This work is joint with Long Chen and Xiaozhe Hu

Thursday, 3/7

GEOMETRIC ANALYSIS SEMINAR
TITLE: Density and equidistribution of minimal surfaces
SPEAKER: Andre Neves, University of Chicago
TIME: 5:45 PM-7:00 PM (note change)
ROOM: Ayres 113
We will show that on closed manifolds, the set of all closed minimal surfaces is dense for generic metrics. Moreover, under the same conditions, we will also show the existence of a sequence of minimal surfaces that become equidistributed. These are the first results of this kind for minimal hypersurfaces. This is joint work with Irie, Marques, and Song.

Friday, 3/8

COLLOQUIUM
TITLE: Recent progress on existence of minimal surfaces
SPEAKER: Andre Neves, University of Chicago
TIME: 2:35 PM-3:35 PM (note change)
ROOM: Ayres 405
Please note that this week’s colloquium will be held one hour early at 2:35 PM.

A long standing open question in geometry was proposes by Yau 30 years ago and asks whether every closed manifold has an infinite number of closed minimal surfaces. Over the last year dramatic progress occurred and, thanks to the work of several people, we now know that Yau’s conjecture holds, minimal surfaces become equidistributed (generically), and their area obeys a universal Weyl Law. I will survey these developments.

 


If you are interested in giving or arranging a talk for one of our seminars or colloquiums, please review our calendar.

If you have questions, or a date you would like to confirm, please contact mlangfo5@utk.edu


Past notices:

Feb. 25, 2019

Feb. 18, 2019

Feb 11, 2019

Feb. 4, 2019

Jan. 28, 2019

Jan. 21, 2019

Jan. 7, 2019

Winter Break

Dec. 10, 2018

Dec. 3, 2018

Nov. 26, 2018

Nov. 19, 2018

Nov. 12, 2018

Nov. 5, 2018

Oct. 29, 2018

Oct. 22, 2018

Oct. 15, 2018

Oct. 8, 2018

Oct. 1, 2018

Sept. 24, 2018

Sept. 17, 2018

Sept. 10, 2018

Sept. 3, 2018

Aug. 27, 2018

2017-18

 

last updated: March 2019

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