Texas Tech Geometry Seminar
Time and place: Wednesdays 4–5 p.m. in MATH 109.
Official mailing list: math.geometry (add ttu edu at the end).
Organizer: Dmitri Pavlov
Fall 2018 Schedule
- August 29
- No seminar
- September 5
- Dmitri Pavlov.
From whence do differential forms come?
Abstract: From Newton to Cartan, infinitesimal quantities were productively used in analysis and differential geometry.
This language was cast aside completely by the mid 20th century in favor of ugly limit-style arguments.
Yet at the same time André Weil and Alexander Grothendieck came up with a very simple and elegant way to formalize infinitesimals:
nilpotent elements in rings of functions.
In this expository talk I will explain an extremely elegant formulation of differential forms in this language:
the de Rham complex is isomorphic (and not merely quasi-isomorphic) to the infinitesimal smooth singular cochain complex with real coefficients.
The talk will be accessible to graduate students, no prior knowledge of differential forms will be assumed or required.
- September 12
- Continuation of the previous talk.
- September 19
- Razvan Gelca.
The volume conjecture.
Abstract: The volume conjecture is a difficult question in Chern-Simons theory.
It belongs to the realm of semiclassical analysis, and it establishes a bridge between Witten's and Thurston's theories.
- September 26
- October 3
- October 10
- October 17
- October 24
- October 31
- November 7
- November 14
- November 21
- Thanksgiving Break
- November 28
- December 5