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Fall 2022

In Fall 2022, Juvitop was about K(n)-local E_infinity rings and the Chromatic Nullstellensatz.

• • Sep 072022
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  Introduction

  Tomer Schlank

  Overview of Chromatic Nullstellensatz.

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• • Sep 142022
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  Overview of Chromatic Homotopy Theory

  Tristan Yang

  References:

  • Lurie, Lecture notes on chromatic homotopy theory

  Morava E-theory, T(n) and K(n)-localization, nilpotence and periodicity, MU.

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• • Sep 212022
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  K(1)-local E_infinity rings

  Cameron Krulewski

  Notes

  Reference:

  • Hopkins, K(1)-local E_infinity ring spectra
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• • Sep 282022
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  Nilpotence-detecting Lubin-Tate theories at height 0 and 1

  Ishan Levy

  Notes

  Reference:

  • Burklund-Schlank-Yuan, The chromatic nullstellensatz
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• • Oct 052022
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  Power operations and Rezk's T-algebras

  Eunice Sukarto

  Notes

  References:

  • Lawson, E_n ring spectra and Dyer-Lashof operations
  • Rezk, The congruence criterion for power operations in Morava E-theory
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• • Oct 122022
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  The May Nilpotence Conjecture

  Rushil Mallarapu

  Reference:

  • Mathew-Naumann-Noel, On a nilpotence conjecture of J.P.May
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• • Oct 192020
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  Detecting nilpotence

  Natalie Stewart

  Talk will start at 3pm in 2-255.

  Reference:

  • Burklund-Schlank-Yuan, The chromatic nullstellensatz, section 4
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• • Oct 192022
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  Lubin-Tate theories that detect nilpotence

  Arpon Raksit

  Reference: Chromatic Nullstellensatz, section 4-5

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• • Oct 262022
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  No talk
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• • Nov 022022
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  The nullstellensatz

  Tristan Yang

  Reference: Chromatic Nullstellensatz, section 6

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• • Nov 092022
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  Orientations and the constructible spectrum

  Sanath Devalapurkar

  Reference: Chromatic Nullstellensatz, section 7-8

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• • Nov 162022
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  Bousfield class of E_infinity rings

  David Lee

  Reference:

  • Hahn, On the Bousfield class of H_infinity ring spectra
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• • Nov 232022
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  Thanksgiving

  No talk.

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• • Nov 302022
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  Isogenies, deformations, and Strickland's Theorem

  Nat Pacheco-Tallaj

  References:

  • Ando, Isogenies of formal group laws and power operations in the cohomology theories E_n
  • Strickland, Morava E-theory of symmetric groups
  • Rezk, Felix-Klein lecture notes
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• • Dec 072022
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  Cofreeness of Lubin-Tate theories

  Adela Zhang

  Reference: Chromatic Nullstellensatz, section 3

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This seminar was organized by Nat Pacheco-Tallaj, Adela Zhang, and Ishan Levy.