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PhD Seminar : Hochschild and Cyclic Homology.

The PhD Seminar for the Winter Semester 2019/20 is about Hochschild and Cyclic Homology. The detailed information for the seminar and the talks shall be updated here and latexed by me. I take full credit of these notes and for the typos. Credits to Jonas Franzel (Lecture 1), Xuchen Zhang (Lecture 4), Robin Witthaus (Lecture 5) and Alessandro D'angelo (Lecture 10) for providing their own lecture notes.

A brief summary of the seminar and the list of talks.

Lecture 1 : Hochschild Homology and Trace Maps.

Lecture 2: Cyclic Homology 1.

Lecture 3 : Cyclic Homology II.

Lecture 4 : Spectral Sequences.

Lecture 5 : The HKR theorem.

Lecture 8 : Introduction to Spectra.

Lecture 9: Intro to infinity categories.

Lecture 10 :Stable infinity categories and structured ring spectra.

Lecture 11: THH and TC :I.

Lecture 12: THH and TC : II.

Lecture 6: Periodic and Negative Cyclic Homology.