Talbot 2013

Mentored by Mark Behrens of MIT and Tyler Lawson of University of Minnesota, Twin Cities

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.

Suggested prerequisites: This year we will ask participants to be familiar with some topics prior to arrival – these 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.

 The workshop discussions will have an expository character and most of the talks will be given by participants. The afternoon schedule will be kept clear for informal discussions and collaborations.

We cover all local expenses, including lodging and food. We also have limited funding available for participants' travel costs.

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.