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Metric Geometry Reading Seminar Spring 2013

Spring 2013 meetings of the CUNY Metric Geometry Reading Seminar meets 5-6pm on Fridays in 4214:03 which is the thesis room of the mathematics department at the CUNY Graduate Center.     

Professor Sormani runs this weekly metric geometry reading seminar for doctoral students at the CUNY Graduate Center.  Doctoral students from other universities are welcome to attend.   Most of our active participants have studied Gromov-Hausdorff convergence as well as Geometric Measure Theory (see what we covered in Spring-Summer 2012).   Active participants present research papers that they are reading as well as their own results.   New students may wish to start attending to get an idea of the research in this area.

Feb 8: Winter Storm: no meeting

Feb 15: Raquel Perales (SUNYSB) presents "Glued Limit Spaces" 
This is joint work with Sormani appearing in this arxiv preprint

Feb 22:  Raquel Perales (SUNYSB) presents "Lattice to Taxicab Constructions and Gromov-Hausdorff convergence"  
This is joint work with Sormani appearing in this arxiv preprint.

Mar 1:  Warner Miller (FAU)  will present "Regge Ricci Flow" on the day after the CUNY Symposium on Ricci Flow 
This is joint work with McDonald, Alsing, Gu and Yau appearing in this arxiv preprint 

Mar 8: Raquel Perales (SUNYSB) presents "Intrinsic Flat to GH Convergence and Limits of Points under Intrinsic Flat Convergence"
This is in Sections 4.1-4.2 of  this arxiv preprint.  Everyone should review Sections 2.1-2.2 before the meeting.

Mar 15: No meeting (Conference on Metric Geometry held at Notre Dame)

Mar 22: Jim Portegies (NYU) presents "Convergence of Slices and Sliced Filling Volumes"
This is in Sections 4.3-4.4 of this arxiv preprint including a review of Thm 2.46.  Everyone should review Section 2.3 before the meeting.  Due to the illness of a few participants, these talk has been rescheduled for Apr 4 (Prof Sormani at U Penn)

Mar 29: No meeting New York Relativity Seminar at Stony Brook and CUNY Spring Break.

Apr 4: Jim Portegies (NYU) presents "Convergence of Slices and Sliced Filling Volumes" 
This is in Sections 4.3-4.4 of this arxiv preprint including a review of Thm 2.46.  Everyone should review Section 2.3 before the meeting.

Apr 12: .Sajjad Lakzian (CUNYGC) presents "Bolzano Weierstrass Theorems and Limits of Points"
This is in Sections 4.6-4.7 of this arxiv preprint.  We are skipping Section 4.5.

Apr 19: Ruobing Zhang (Princeton) presents "Margulis Lemma, Gromov's Noncollapsing and work of Fukaya and Yamaguchi"  This is in jstor article and jstor article.  (Prof Sormani at Rice) 

Apr 26: Raquel Perales (SUNYSB) presents "Arzela-Ascoli Theorems"
This is in Sections 5.1-5.3 of this arxiv preprint.  Earlier today: New York Relativity Seminar at CUNY.

May 3:  No meeting:   Workshop at Rutgers this week.

May 10: Ruobing Zhang (Princeton) presents "Volume Entropy: Work of Ledrappier-Wang and joint work with Xiaochun Rong"   See http://arxiv.org/pdf/0911.0370v3.pdf. Also this week: Conference in honor of Phong at Columbia

May 17: Kenneth Knox (SUNYSB) presents "Lk,p and Calpha compactness of Riemannian manifolds"
See background in arxiv preprint.

May 24: No meeting, Lehigh Geometry and Topology Conference

May 28-31: Daily Meetings 10:30-12:00 am and CUNY GC Simon's Birthday Conference
Talks TBA 

In June we will meet 1:30-3:30 on Mondays and Thursdays:

June 3: Kenneth Knox (SUNYSB) presents his work on "Lk,p and Calpha compactness of Riemannian manifolds with boundary"   See arxiv preprint.

June 6: Kenneth Knox (SUNYSB)
will complete his presentation of his preprint.

June 10: Jim Portegies (NYU) presents "Wenger's Compactness Theorem"
Compactness for manifolds and integral currents with bounded diameter and volume, by Stefan Wenger. 
Calc Var PDE (2011) 40:423-448   See http://comet.lehman.cuny.edu/sormani/research/intrinsicflat.html for a link
to this paper and other related papers.

June 13: Jim Portegies continues his presentation of "Wenger's Compactness Theorem"

June 17: Mike Munn presents "The Abresch-Gromoll Excess Theorem"
On complete manifolds with nonnegative Ricci curvature. by Abresch and Gromoll
J. Amer. Math. Soc. (1990), no. 2, 355–374. 

June 20: Raquel Perales presents "Cheeger-Colding's Theorems on Noncollapsing Limits of Riemannian Manifolds with Ricci curvature bounds"  A review of Sections 1, 2, 5, 6, and 8 of On the structure of spaces with Ricci curvature bounded below. Part I. J. Differential Geom. 46 (1997), no. 3, 406–480.

June 27: Sajjad Lakzian presents "Sturm's Wasserstein Distance between Riemannian Manifolds" A review of Sturm's On the geometry of metric measure spaces. I & II Acta Math.196 (2006), no. 1, 65–131 & 133-177.

July 3 & July 9:  ICMS Ricci Curvature Workshop, Edinburgh,