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Monday, January 22, 2018

**Abstract:** Infinite loop spaces arise as the spaces underlying connective spectra. The construction and analysis of such spaces has been an important part of homotopy theory. In this talk I will introduce Segal's infinite loop space machine, a device used to construct infinite loop spaces from algebraic data. Using this machine, I will prove a theorem of Barratt-Priddy-Quillen. Finally, I will indicate how these ideas are being put to use in motivic homotopy theory.

Monday, January 29, 2018

Monday, February 12, 2018

Monday, February 19, 2018

Monday, March 5, 2018

Monday, March 12, 2018