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The University of Tennessee

Mathematics Department

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Seminars and Colloquiums
for the week of May 1, 2010


Speaker:

Jozef Przytycki (George Washington University), Friday


Friday, May 7

TOPOLOGY SEMINAR
TIME:  9:00 a.m.
ROOM:  Temple 303
SPEAKER: Jozef Przytycki (George Washington University)
TITLE: “Knot Theory from the seal of Lerna to Quandles and their homology”
ABSTRACT: Homology theory of associative structures like groups and rings has been zealously studied throughout the past starting from the work of Hopf, Eilenberg and Hochschild, but the non-associative structures, like quandles, were neglected till recently. After showing few early knots in art and science we will outline the history of quandles and their homology. Then we will present several new results in homology of Takasaki quandles. In particular, we prove that for the Takasaki quandle of an abelian group G, (a*b = 2b-a), the second  homology of the quandle is equal to the exterior square of G (provided that order of G is odd). 


If you are interested in giving or arranging a talk for one of our seminars or colloquiums, please review our calendar.

If you have questions, or a date you would like to confirm, please contact Dr. Steve Wise.


Week of:

4_26_10.html

4_19_10.html

4_12_10.html

4_5_10.html

3_29_10.html

3_22_10.html

3_15_10.html

3_8_10.html (spring break)

3_1_10.html

2_22_10.html

2_15_10.html

2_8_10.html

2_1_10.html

1_25_10.html

1_18_10.html

12_09_break

11_30_09.html

11_23_09.html

11_16_09.html

11_09_09.html

11_02_09.html

10_26_09.html

10_19_09.html

10_12_09.html

10_5_09.html

9_28_09.html

9_21_09.html

9_14_09.html

9_7_09.html

8_31_09.html

8_24_09.html

Past notices:

Seminars from 2008-2009 academic year

Seminars from 2007-2008 academic year

Seminars from 2006-2007 academic year

Seminars from 2005-2006 academic year