Chiral homology, also known as factorization homology, has many faces: it appears in topology, where it leads to a classification of generalized homology theories satisfying a rule such as H(M t N ) = H(M ) ⊗ H(N) (as opposed to the Eilenberg–Steenrod axioms, where we have “⊕” instead of ⊗). Chiral homology is also relevant in the geometric Langlands program, as well as Gaitsgory–Lurie’s approach to the Tamagawa number conjecture. Moreover, factorization algebras are also relevant to mathematical physics.
In this seminar, we will learn about the topological aspects of chiral homology following Lurie’s Higher Algebra.

Kurs im HIS-LSF

Semester: SoSe 2020