Talbot 2013: Chromatic Homotopy Theory

Mentored by Mark Behrens and Tyler Lawson

April 21-27, 2013
South Lake Tahoe, California

Topic: The 2013 workshop, aimed toward graduate students and other young researchers, focused on understanding chromatic homotopy theory. Developed by many mathematicians throughout the past few decades, this theory has produced powerful structural and calculational principles in topology and remains a highly active research area. Topics covered or touched included the chromatic spectral sequence; the landmark nilpotence and periodicity theorems of Devinatz, Hopkins and Smith; Morava's K- and E-theories; topological modular and automorphic forms; Gross-Hopkins duality; the telescope and chromatic splitting conjectures; and many others.

Mentor: The 2013 Talbot workshop was mentored by Mark Behrens of MIT and by Tyler Lawson of University of Minnesota, Twin Cities.

Format: The workshop had an expository character and the majority of the talks were given by the participants of the workshop. The afternoon schedule was kept clear for informal discussions and collaborations.

Timeline: Interested participants should fill out the application form by noon on Monday, December 3, 2012. Due to funding and space constraints, we may be unable to host all applicants--the organizers will notify applicants by Tuesday, December 11, 2012, if we are unable to accommodate them. We will then solicit volunteers among the participants to give the workshop's talks.

Funding: We will cover all local expenses including lodging and food. We also have limited funding available for participants' travel costs. All funding for the 2013 Talbot Workshop comes from the NSF grant DMS-1007096. The same grant provided funding for the 2011 and 2012 workshops.

Who should apply: Talbot is meant to encourage collaboration among young researchers, particularly graduate students. To this end, the workshop aims to gather participants with a diverse array of knowledge and interests, so applicants need not be an expert in the field. In particular, students at all levels of graduate education are encouraged to apply.

Background reading: This year we will ask participants to be familiar with some topics prior to arrival--thse include (1) the basics of spectra, (2) the relationships between complex cobordism, formal group laws, and Brown-Peterson cohomology, (3) Bousfield localizations, and (4) the Adams and Adams-Novikov spectral sequences. Basic resources and references will be provided for learning this material, and we will provide further details as the workshop approaches.

Contact Information: Please e-mail the organizers at talbotworkshop(at)gmail.com if you have any questions.