Spring 2017

In Spring 2017, Juvitop was about Obstruction Theory for Structured Ring Spectra.

• • Feb 152017
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  The associativity of Morava K theories

  Hood Chatham

  Reference: Robinson, "The associativity of Morava K Theories" (pages 74-79).

  Angeltveit, "THH and Cohomology of $A_\infty$ ring spectra" (section 3).

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• • Feb 222017
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  Introduction to THH

  Denis Nardin
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• • Mar 012017
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  The Center of Morava K Theory is Morava E Theory (if you give it the right $A_{\infty}$ structure)

  Andy Senger

  Reference: Angeltveit, "THH and Cohomology of $A_\infty$ ring spectra"

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• • Mar 082017
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  Introduction to Andre Quillen Homology

  Morgan Opie

  References: Quillen, Homology of commutative rings

  Frankland's thesis, Appendix A

  Miller "Quillen cohomology and Hochschild cohomology"

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• • Mar 152017
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  Introduction to Topological Andre Quillen Homology

  Jun-hou Fung

  Reference: Hess, "Postnikov Towers of Commutative S-algebras" (masters thesis)

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• • Apr 052017
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  $BP$ is $E_4$

  Hood Chatham

  Reference: Basterra and Mandell, "The multiplication on $BP$"

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• • Apr 122017
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  Introduction to Gamma homology

  Peter Haine

  Reference: Robinson, "Gamma Homology, Lie Representations, and $E_\infty$ Multiplications"

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• • Apr 192017
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  Gamma homology of discrete rings

  Robin Elliott

  Reference: Robinson and Whitehouse, "Operads and Gamma Homology of Commutative Rings"

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• • Apr 262017
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  There is a unique $E_\infty$ structure on $KU$

  Eva Belmont

  Reference: Baker and Richter, "Gamma Cohomology of Rings of Numerical Polynomials and $E_\infty$ Structures on $K$ theory"

  Classical Obstructions and $\mathbb{S}$-Algebras

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• • May 032017
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  The Brauer Group of Morava E Theory

  Jeremy Hahn

  Reference: On Brauer Groups of Lubin-Tate Spectra

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• • May 102017
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  The Brauer Group of Morava E Theory Part 2

  Jeremy Hahn
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• • May 172017
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  Constructing $E_\infty$ rings from $p$-divisible groups

  Allen Yuan

  Reference: Lawson, "Structured ring spectra and displays"

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Eva is live texing notes, which are available here: (pdf , tex).

This seminar was organized by Hood Chatham and Eva Belmont.