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Topology Seminar, Spring 2018

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The Topology Seminar will meet on Fridays, usually alternating with the AGC seminar, 3:00 p.m. – 4:00 p.m. in room  MB 124 (Mathematics Building). Below you find the information for the topology talks. Everybody who is interested is invited to join. Please send email to ukaiser@boisestate.edu for more information. For completeness we also have included the talks in the AGC-Seminar.

January 12:  All participants
Title: Planning

January 19:  Jens Harlander
Title: Who cares about finite topological spaces?

Abstract:
There are three things that I will try to explain:
1) The category of finite spaces is the same as the category of pre-ordered set.
2) The homotopy classification of finite spaces is done.
3) A finite CW-complex has the weak homotopy type of a finite topological space.
This has been known since the mid 1960’s. Recently, paying attention to 3), Barmack and Minian have translated famous conjecture from low dimensional topology, such as the Andrews-Curtis and Whitehead’s asphericity conjecture, into the language of finite spaces. I will focus on the Whitehead conjecture in a second talk. Most of what I have to say is suitable for undergraduate students. So don’t worry and come.

January 26:  Jens Harlander
Title: Who cares about finite topological spaces? Part II

Abstract:  I will review the homotopy classification for finite topological spaces and then move from homotopy types to weak homotopy types. The main result here is that every finite CW-complex has the weak homotopy type of a finite topological space. 

February 2: Scott Andrews (AGC-Seminar)
Title: tba

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February 9:  Uwe Kaiser
Title: Representations of Quivers

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February 16: tba (AGC-Seminar)
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February 23: Jonny Comes (AGC-Seminar)
Title: Trace Decategorification

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March 2: tba
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March 9: tba (AGC-Seminar)
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March 16: tba
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March 23: tba (AGC-Seminar)
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April 6: tba
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April 13: tba (AGC-Seminar)
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April 20: Kayla Neal
Title: Tiling Theory

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Please go to the AGC seminar homepage for further information.