# Talbot 2017: Obstruction theory for structured ring spectra

## Mentored by Maria Basterra and Sarah Whitehouse

###
May 21-27, 2017

Gooding, ID

The mentors have prepared a description of the talks, with extensive references.

Here is some advice on how to give a good Talbot talk.

**Notes:**A lightly edited version of notes taken by Eva and Sanath during the workshop can be found here: (pdf, tex sources). Please report errors if you find any!

## Monday

**Talk 1.**Overview (Sarah Whitehouse).

**Talk 2.**Operads (Calista Bernard).

**Talk 3.**Examples of structued ring spectra (Jens Kjaer).

**Talk 4.**Robinson's $A_\infty$ obstruction theory (Foling Zou).

## Tuesday

**Talk 5.**Robinson's $E_\infty$ obstruction theory (J.D. Quigley).

**Talk 6.**$\Gamma$-homology I: Properties and calculations (Robin Elliott).

**Talk 7.**$\Gamma$-homology II: More calculations and applications (Pax Kivimae).

**Talk 8.**Quillen cohomology (Eric Berry).

**Talk 9.**Topological André-Quillen cohomology I (Daniel Hess).

## Wednesday

**Talk 10.**Topological André-Quillen cohomology II (Yu Zhang).

**Talk 11.**Obstruction theory for connective spectra (Leo Herr).

## Thursday

**Talk 12.**Application of $TAQ$: $BP$ is $E_4$ (Guchuan Li).

**Talk 13.**Goerss-Hopkins obstruction theory I (Dominic Culver).

**Talk 14.**Goerss-Hopkins obstruction theory II (Paul VanKoughnett).

**Talk 15.**Applications of Goerss-Hopkins obstruction theory (Özgür Bayindir).

**Talk 16.**Comparison results I (Arpon Raskit).

## Friday

**Talk 17.**Comparison Results II (Aron Heleodoro).

**Talk 18.**$MU_{(p)} \to BP$ is not an $E_\infty$ map (Gabe Angelini-Knoll).

**Talk 19.**$BP$ is not $E_{12}$ at $p = 2$ (Andy Senger).

**Talk 20.**Further directions (Maria Basterra).