Organizers:
Jerzy Jezierski
(jezierski@acn.waw.pl)
Wojciech Kryszewski (wkrysz@mat.uni.torun.pl)
Peter N. Wong (pwong@bates.edu)
Topological fixed point theory is one of the
most powerful tools of modern mathematics and has proven to be useful in the
study of problems in nonlinear analysis, theory of differential equations, low
dimensional dynamics, and mathematical economics. New techniques have been
introduced and employed in recent advances in (i) the
Lefschetz or Nielsen theory for fixed points,
periodic points and coincidences; (ii) Borsuk-Ulam
type theorems and their applications to nonlinear analysis; (iii) fixed point
theory for set-valued maps and Brouwer type theorems;
(iv) dynamical systems and Conley type index theory. As examples, techniques
from geometric group theory have been used in studying the twisted conjugacy problems in groups and the computation of the
Nielsen number, while higher obstructions and bordism
theory have been useful in studying self-coincidences and positive codimensional coincidence problems. In this special
session, we plan to include talks by researchers whose work represent a wide
spectrum of recent developments in the broad area of topological fixed point
theory.
There will be approximately fifteen
25-minute talks, with 5 minutes between talks.
Confirmed Speakers (as of
June 1, 2007):
· Zdzisław Dzedzej,
· Alexander Fel’shtyn,
· Marek Golasiński, Nicolaus
Copernicus Univ.,
· Daciberg Gonçalves, Univ.
· Grzegorz Graff,
· Marek Izydorek,
· Michael Kelly,
· Armando Martino, UPC,
· Wacław Marzantowicz, Adam Mickiewicz Univ.,
· Dariusz Miklaszewski, Nicolaus
Copernicus Univ.,
· Dirk Schütz,
· Stanisław Spież, IMPAN,
· Pawał Wilczyński,
· Peter Wong,
· Xuezhi Zhao,
Capital Normal Univ.,
|
16:55
– 17:20 |
Peter Wong |
Combinatorial and geometric methods in fixed point theory |
|
17:25
– 17:50 |
Armando Martino |
Twisted conjugacy in free groups,
surface groups and beyond |
|
17:55
– 18:20 |
Alexander Fel’shtyn |
Groups with R∞ property |
|
9:05 – 9:30 |
Michael
Kelly |
Homotopy idempotents on surfaces and Bass’
conjectures |
|
9:35 – 10:00 |
Daciberg Gonçalves |
Vitrually cyclic subgroups of the pure and full braid groups of the
surfaces which admit torsion |
|
10:05 – 10:30 |
Marek Golasiński |
Recent
developments in Gottlieb groups |
|
10:35 – 11:00 |
Dirk Schütz |
On Lusternik-Schnirelmann categories for closed 1-forms |
|
15:35
– 16:00 |
Pawał Wilczyński |
Periodic
Solutions of polynomial planar nonautonomous
differential equations |
|
16:05
– 16:30 |
Wacław Marzantowicz |
Estimates
of the topological entropy from below for continuous self-maps on some
compact manifolds |
|
17:00
– 17:25 |
Xuezhi Zhao |
Periodic orbits with least period three on the circle |
|
17:30
– 17:55 |
Grzegorz Graff |
On the growth of the number of periodic points for smooth self
maps of a compact manifold |
|
9:05
– 9:30 |
Stanisław Spież |
Equilibrium existence and topology in repeated games |
|
9:35
– 10:00 |
Zdzisław Dzedzej |
Conley type index applied to Hamiltonian inclusions |
|
10:05
– 10:30 |
Marek Izydorek |
G-homotopies versus gradient G-homotopies |
|
10:35
– 11:00 |
Dariusz Miklaszewski |
The Brouwer fixed point theorem for some
set-valued mappings |
(Note: Soon the abstracts of these talks will be available
through the AMS-PTM website link.)
Travel/housing and registration
information are available from the PTM web site through this link. The conference fee is USD150.