2009 Cascade Topology Seminar

  • Start Date: 04/25/2009
  • End Date: 04/26/2009

Jose Maria Cantarero (UBC)

Dan Dugger (U.Oregon)

Chad Giusti (U.Oregon)

Veronique Godin (U.Calgary)

Laurent Meersseman (U.Bourgogne/PIMS)

Ron Stern (UC Irvine)

Gang Tian (Princeton University)

Troy Winfree (U.Washington)


University of British Columbia


The Cascade Topology Seminar is a biennial gathering of topologists from the Pacific Northwest and Southwestern Canada.




Speaker: Daniel Dugger (U.Oregon)

Title: Motivic stable homotopy groups


Speaker: Chad Giusti (U.Oregon)

Title: Unstable Vassiliev theory


Speaker: Veronique Godin (U.Calgary)
Title: Relative invariant of string topology


Jose Maria Cantarero (UBC)

Title: Twisted K-theory and Groupoids


Speaker: Laurent Meersseman (PIMS/U.Bourgogne)

Title : Complex Manifolds, Real Quadrics and Convex Polytopes

Abstract : This is a joint work with Frederic Bosio (Poitiers,
We investigate the topology of a large class of non-Kaehler compact
complex manifolds called LV-M manifolds. These manifolds are
diffeomorphic to real quadrics in the complex space C^n of a special
form, so we forget about the complex structures and work with this
model. On the other hand, LV-M manifolds admit a smooth torus action
whose quotient is a simple convex polytope and can be seen as a smooth
realization of moment-angle manifolds.


In this talk, I will explain how complicated is the topology of LV-M
manifolds by making a reduction to combinatorics of convex polytopes.
In particular, I will give a combinatorial formula for the homology
with coefficients in Z of LV-M manifolds. This uses cohomological
results of Buchstaber and Panov. I will also resolve an associated
wall-crossing problem by studying a set of surgeries defined on simple
convex polytopes.


Finally, I will discuss some consequences for compact complex
manifolds. In particular, I will prove that there exist affine compact
complex manifolds (that is manifolds with an atlas whose changes of
charts are affine biholomorphisms of C^n) with arbitrary complicated
homology groups. This contrasts with the Kaehler case : affine Kaehler
compact complex manifolds are covered by a complex torus.


Speaker: Ronald J. Stern (UC Irvine)

Title: Finite group actions on smooth 4-manifolds

Abstract: We will outline the construction of infinite families
of smooth actions of finite cyclic groups on simply connected smooth
4-manifolds with nontrivial Seiberg-Witten invariants with the property
that the actions are equivariantly homeomorphic but not equivariantly
diffeomorphic. This is joint work with Ron Fintushel and Nathan


Troy Winfree (U. Washington)

Title: Continuous homotopy fixed point spectra: finiteness properties and computations


Gang Tian (Princeton University)

Title: Spaces with bounded Ricci curvature in dimension 4


Abstracts / Downloads / Reports: 

Location: PIMS UBC--West Mall Annex Room 110


Saturday April 25


10:30 am Coffee & pastries


11:00 am Ron Stern (UC Irvine)


==lunch break==


1:30-1:55pm Troy Winfree (U.Washington)


2:05-2:30pm Chad Giusti (U.Oregon)


2:35-3:00pm Jose Maria Cantarero (UBC)


coffee break


3:30pm Dan Dugger (U.Oregon)


4:45pm Veronique Godin (U.Calgary)


7:00pm Conference Dinner/Party


SUNDAY April 26


9:30 am Coffee & pastries


10:00am Laurent Meersseman (U.Bourgogne/PIMS)


11:15am Gang Tian (Princeton University)

Other Information: 

See http://www.mth.pdx.edu/events/cts/

for more information about the Cascade Topology Seminar 


Participants should arrange their own accommodations.

Please contact Ken Leung (kleung@pims.math.ca) if you need assistance.


List of on-campus hotels


1. Carey Centre

contact: Hazel (hazel@careytheologicalcollege.ca)


2. TRIUMF House
(604) 222-1062

Contact: Connie Santiago,TRIUMF House Reservation Office


Email: housing@triumf.ca


3. UBC Conference
(604) 822-1000

West Coast Suites and Walter Gage Towers
Pacific Spirit Hostel (Summer only)

E-Mail: reservations@housing.ubc.ca


4 Green College (Guest rooms / Student residence)

Contact: Ms. Simone Goguen
(604) 822-8660

Email: greencol@interchange.ubc.ca


5. St. John's College
(604) 822-6522
Email: allam@interchange.ubc.ca

contact: Alice Lam

Rate: $95/night


6. Vancouver School of Theology (VST)

6000 Iona Drive, Vancouver, BC V6T 1L4

Phone: 604-822-6398
Rate: $96.9/night (15% tax)