Pacific Northwest Geometry Seminar

  • Start Date: 05/05/2012
  • End Date: 05/06/2012


Eric Bahuaud, Stanford University

Panagiota Daskalopoulos, Columbia University

Martin Li, University of British Columbia

John Lott, U.C. Berkeley

Jiaping Wang, University of Minnesota


University of British Columbia


Abstracts for the talks:


1. Toti Daskalapoulos


Title:  Ancient solutions of the Yamabe flow


Abstract: We construct new ancient compact solutions of the Yamabe flow. Our approach involves a parabolic analogue of the gluing method of solutions to the rescaled flow with constant scalar curvature.


2. Eric Bahuaud


Title: The Yamabe flow of an incomplete edge metric


Abstract: In this talk I will describe recent work to understand the behaviour of the Yamabe flow in a singular setting modeled by an incomplete edge metric. I will discuss the background estimates obtained from the heat kernel, conditions for short-time existence and prospects for long-time existence. This is ongoing work with Boris Vertman.


3. Martin Li


Title: Minimal Surfaces with Free Boundary and Geometric Applications


Abstract: Minimal surfaces have been a very useful tool in studying 3-manifold topology and geometry since the pioneering work of Schoen-Yau. When the 3-manifold M possess a boundary, it is natural to look at minimal surfaces with free boundary. In this talk, I will first describe a very general existence result for properly embedded minimal surfaces with free boundary. When the 3-manifold satisfies some curvature and boundary convexity assumptions, we show that the space of these minimal surfaces with a fixed topological type is compact in a very strong sense. As a geometric application, we prove a rigidity result for bounded convex domains in R^3 in terms of the area of a minimal surface which realize the "width" of the convex domain. If time permits, I will indicate some potential applications to mean curvature flow in R^3.


3. John Lott


Title : Collapsing with a lower bound on the curvature operator


Abstract : Cheeger and Gromov characterized bounded curvature collapse in terms of F-structures.  I'll describe how some of the Cheeger-Gromov results extend to collapse with just a lower bound on the curvature operator, in terms of fibered F-structures.


4. Jiaping Wang


Title: Analysis on smooth metric measure spaces and applications


Abstract: We intend to explain some joint work with Ovidiu Munteanu concerning the analysis on smooth manifolds with densities.Applications to the Ricci gradient solitons will also be discussed.


The Pacific Northwest Geometry Seminar (PNGS) is a regional meeting for geometers of all kinds. It is held every fall and spring, and every other winter, rotating among the following participating institutions:

  • Oregon State University

  • Portland State University

  • Stanford University

  • University of British Columbia

  • University of Oregon

  • University of Utah

  • University of Washington

Abstracts / Downloads / Reports: 

Saturday May 5th



10:30-11:00 Reception, coffee, Breakfast snacks


11:00-12:00 Panagiota Daskalopolous, Columbia University (Ancient solutions of the Yamabe flow)


12:00-2:00 LUNCH


2:00-3:00 Eric Bahuaud, Stanford University


3:00-3:30 COFFEE BREAK


3:30-4:30 Martin Li, University of British Columbia


6:00 Conference Dinner


Sunday May 6th


9:00-9:30 Coffee, Breakfast snacks


9:30am -10:30am John Lott, U.C. Berkeley (Collapsing with a lower bound on the curvature operator)


10:30am-11:00am COFFEE BREAK


11:00am -12:00pm Jiaping Wang, University of Minnesota


Local Organizers:

Albert Chau, Jingyi Chen, Ailana Fraser

Other Information: 

Location: WMAX 110 


For further information please visit the Pacific Northwest Geometry Seminar page at:


Location detials, Registration instructions, and additional info forthcoming.


The meetings are supported by the National Science Foundation (NSF), the Pacific Institute for the Mathematical Sciences (PIMS), and the host institutions.