| Talk_id | Date | Speaker | Title |
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15399
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Monday 9/10
1:00 PM
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Nick Ovenhouse, MSU
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Hochschild Cohomology
- Nick Ovenhouse, MSU
- Hochschild Cohomology
- 09/10/2018
- 1:00 PM - 1:50 PM
- C517 Wells Hall
I will give the basic definitions of Hochschild cohomology, and discuss interpretations of the first few cohomology groups H^0, H^1, and H^2. Time permitting, I will discuss how the groups H^2 and H^3 are related to formal deformations of algebras and quantization of Poisson brackets.
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15404
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Monday 9/17
1:00 PM
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Joshua Ruiter, MSU
|
Absolute Values and Ostrowski's Theorem
- Joshua Ruiter, MSU
- Absolute Values and Ostrowski's Theorem
- 09/17/2018
- 1:00 PM - 1:50 PM
- C517 Wells Hall
The notion of an absolute value function can be generalized to arbitrary fields; one example is the p-adic absolute value on the rational. Ostrowski's theorem classifies all absolute values on the rationals. An absolute value induces a metric in a natural way, so we can "complete" a field with respect to a given absolute value. We'll also discuss the close relationship between absolute values and discrete valuation rings.
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15425
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Monday 9/24
1:00 PM
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Chuangtian Guan, MSU
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Witt Schemes and Witt Vectors
- Chuangtian Guan, MSU
- Witt Schemes and Witt Vectors
- 09/24/2018
- 1:00 PM - 1:50 PM
- C517 Wells Hall
No abstract available.
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15441
|
Monday 10/8
1:00 PM
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Charlotte Ure, MSU
|
Étale Cohomology and its Applications to Curves
- Charlotte Ure, MSU
- Étale Cohomology and its Applications to Curves
- 10/08/2018
- 1:00 PM - 1:50 PM
- C517 Wells Hall
Étale cohomology was originally introduced by Grothendieck in the 1960s as a tool for solving the Weil conjectures. Since then it has proven very useful in algebraic and arithmetic geometry. In my talk, I will introduce the notion of Grothendieck topology, étale site, and étale cohomology. I will then explore the cohomology of curves and briefly describe some applications. This talk will be accessible to all levels.
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16477
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Monday 11/12
1:00 PM
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Joshua Ruiter, MSU
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Universal Central Extensions
- Joshua Ruiter, MSU
- Universal Central Extensions
- 11/12/2018
- 1:00 PM - 2:00 PM
- C517 Wells Hall
I'll define universal central extensions of groups, and prove a criterion for a central extension to be universal. Time permitting, I'll connect this to the 2nd algebraic K-group of a ring, and a certain group cohomology.
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