Topology Seminar, 2008-2009
Link to Department Events Page.
Talks from last year are listed at: Topology Seminar 2007 -2008
Winter: Seminar will meet at 12:00 on tuesday's in Bexl 211
Week 1 - January 6, 2009, No meeting
Week 2, January 13, 2009 -- Organizational Meeting
Bill Bogley and Dennis Garity will be organizing the topology seminar for winter term.
One topic will be going through the paper: New Invariants in the Theory of Knots by Louis H. Kauffman
(The American Mathematical Monthly, Vol. 95, No. 3 (Mar., 1988), pp. 195-242)
This paper is available in pdf format through the JSTOR collection at the OSU library.
It provides a self contained introduction to knot theory and some of the polynomials associated with knots discovered during the 1980s.
If you are interested in participating in the seminar, and can't make the organizational meeting, please let Bill Bogley or Dennis Garity know.
Week 3, January 20, 2009, No meeting
Week 4, January 27, 2009 --
Bill Bogley will be leading a discussion of Section one of Kauffman's paper:
The paper is available from the online site of the OSU library in the JSTOR collection:
New Invariants in the Theory of Knots Source: The American Mathematical Monthly,
Vol. 95, No. 3 (Mar., 1988), pp. 195-242 Published by: Mathematical Association of America
Week 5, February 3, 2009 --
Dennis Garity will lead the discussion on the next section in Kauffman's paper.
Week 6, February 10, 2009 --
Aniruth Phon-on will lead the discussion on the next section in Kauffman's paper.
Week 7, February 17, 2009 --
Paul Synhavsky will lead the discussion on the next section in Kauffman's paper.
Week 8, February 24, 2009 --
Pongdate Montagantirud will lead the discussion on the next section in Kauffman's paper.
Week 9, March 3, 2009 --
Patrick Waters will lead the discussion on the next section in Kauffman's paper
Week 10, March 10, 2009 -- No meeting this week.
Fall: Seminar will meet Monday at noon in Gilkey 100 unless otherwise noted.
Week 1 - Sep 29, 2008,
Week 2 - Oct 6, 2008,
William A. Bogley,
Title: Permutation Summands of Homotopy Modules
Abstract: This talk focuses on a series of papers by James Howie and
Hans Rudolf Schneebeli in the 1980s in which the authors studied the
algebraic structure of ZG-modules that occur as kernels of boundary maps
in projective ZG-resolutions of the trivial module Z. Topologically,
these kernels occur as homotopy modules of the skeleta of
Eilenberg-Maclane complexes of type K(G,1). Motivated by classical
examples, the authors consider the situation when such modules contain a
permutation module as a direct summand. It turns out that the isotropy
subgroups of any such permutation summand must be finite and the authors
prove a number of results relating the presence of such summands to the
distribution of finite subgroups in G.
Week 3 - Oct 13th, 2008
Christine M. Escher
Title: Exotic Spheres and Curvature
Abstract: I will provide an introduction to a recent paper on exotic spheres and curvature.
Parts of this paper could be presented individually by students.
Week 4 - Oct. 20th, 2008
Dennis J. Garity
Title: Complexity of Cell Like Images of Manifolds
Abstract: I will provide an introduction to a number of ways of measuring the complexity
of cell like images of manifolds. Such images are known in general to be manifold factors.
Week 5 - Oct 27, 2008
Title: Cantor Sets with Special Defining Sequences
Abstract: Special defining sequences for Cantor sets, both in finite dimensions
and in the Hilbert Cube will be described. I will start with a review of basic descriptions of the Cantor set.
Week 6 - Nov.3, 2008
Aniruth Phon-on and Dennis Garity
Title: Homogeneity and Rigidity
Abstract: Aniruth Phon-on will finish his description of a Cantor set construction.
Dennis Garity will define and give examples of homogeneity and rigidity.
Week 7 - Nov. 10th, 2008
Title: Homogeneity and Rigidity, II
Abstract: Details on constructing a rigid genus one Cantor set in three space
will be provided.
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