2009 Cascade Topology Seminar

  • Start Date: 04/25/2009
  • End Date: 04/26/2009
Speaker(s):

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)

Location: 

University of British Columbia

Topic: 

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

 

 

Description: 

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

 


Speaker:
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,
France).
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
Sunukjian.

 


Speaker:
Troy Winfree (U. Washington)

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

 


Speaker:
Gang Tian (Princeton University)

Title: Spaces with bounded Ricci curvature in dimension 4

 

Abstracts / Downloads / Reports: 
Cascade_Topology_2009_Final_Report.pdf
Schedule: 

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)
http://www.careycentre.com/index.php?option=com_content&task=view&id=31

 

2. TRIUMF House
(604) 222-1062

Contact: Connie Santiago,TRIUMF House Reservation Office

http://www.triumfhouse.ca/

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
http://www.greencollege.ubc.ca

 

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

contact: Alice Lam

Rate: $95/night
http://www.stjohns.ubc.ca/

 

6. Vancouver School of Theology (VST)

6000 Iona Drive, Vancouver, BC V6T 1L4

Phone: 604-822-6398
Rate: $96.9/night (15% tax)
http://www.vst.edu/housing/guestrooms.php

Sponsor: 

pims

 

NSF