This volume contains the proceedings of the Homotopical Methods in Geometry and Physics Conference in honor of the 60th birthday of Ezra Getzler held at Northwestern University in Evanston, Illinois, on March 21-25, 2022. It includes papers on geometry and topology of moduli spaces and configuration spaces, on theory of operads, and on noncommutative geometry, as well as on various connections between these topics and on their role in mathematical physics. These topics have been extensively studied during the last forty years. One prominent feature of the subject is that various invariants of spaces, noncommutative algebras, etc. carry classical algebraic structures but only up to homotopy. Operations that are part of these structures form topological spaces (from polyhedra to configuration or moduli spaces) whose homotopy theory is of central importance. The same spaces can be viewed as configuration spaces in mathematical physics.
Konstanin Aleshkin and Chiu-Chu Melissa Liu, Open/closed correspondence
and extended LG/CY correpondence for quintic threefolds; Andre Beuckelmann
and Ieke Moerdijk, A small catalogue of $E_n$-operads; Indranil Biswas and
Eduard Looijenga, Characteristic forms for holomorphic families of local
systems; Nathaniel Bottman and Dylan Mavrides, The 2-aassociahedra are
Eulerian; Zsuzsanna Dancso, Tamara Hogan, and Marcy Robertson, A
knot-theoretic approach to comparing the Grothendieck-Teichmuller and
Kashiwara-Verge groups; Ben Davison, Affine BPS algebras, W algebras, and the
cohomological Hall algebra of $\mathbb{A}^2$; Mikhail Kapranov and Vadim
Schechtman, PROBs and perverse sheaves II. Ran spaces and 0-cycles with
coefficients; Boris Tsygan, Gauss-Manin connection in noncommutative
geometry; Jesse Wolfson, On simplicial principal bundles in descent categories
Gus Schrader, Northwestern University, Evanston, IL.
Boris Tsygan, Northwestern University, Evanston, IL
