Topology Seminars 2026

Synthetic methods in chromatic homotopy theory

Time: 2:00 pm & Avenue: Kolmogorov Bhavan, L_infinity room

[July - October]

Dates and titles of the talks

• L01: July 21
  Samik Basu: Overview of the stable homotopy category

• L02: July 28
  Akashdip Biwas: Adams spectral sequence and computations

• L00: August 04
  No lecture this week

• L03: August 11
  Abhinandan Das: Thom spectra and MU

• L04: August 18
  Shantabrata Saha: Stable infinity category and filtered spectra

• L04: August 25
  Krishna Goswami: Synthetic spectra I

• L05: L05: September 01
  Krishna Goswami: Synthetic spectra II

• L06: L07: September 08
  Vanny Doem: Synthetic spectra III

• L07: September 15
  Vanny Doem: Synthetic spectra IV

• L08: September 22
  Akashdip Biwas: Burklund's proof of nilpotence theorem

• L09: September 29
  Abhinandan Das: Morava K-theory and K(n)-form of nilpotence

• L10: October 06
  Risav Baradia: Thick subcategory

• L11: October 13
  Shantabrata Saha: Periodicity theorem

• L12: October 20
  TBA: Multiplicative structures on Moore spectra I

• L13: October 27
  TBA: Multiplicative structures on Moore spectra II

• L14: November 03
  TBA: Multiplicative structures on Moore spectra III

References of the talks

[Notice that the format of our talks will be in the fashion of Achim Krause's lecture notes.]

• A. Krause. Lecture notes on stable homotopy theory and nilpotence, 2026.

• R. Burklund. Multiplicative structure on Moore spectra, 2022.

• M. Milanesi. Even synthetic spectra based on MU, 2024.

• S. Nigtevecht. An introduction to filtered and synthetic spectra, 2025.

• P. Pstrągowski. Synthetic spectra and the cellular motivic category, 2022.

•  E.S. Devinatz-M.J. Hopkins-J.H. Smith. Nilpotence and stable homotopy theory I, 1988.

*We are planning to update lecture notes on our website. If possible, please help contribute notes after the lecture by sending them to: isitopologyseminar2pmlinfty@gmail.com