Workshop on Derived Geometry

Derived methods, such as sheaf cohomology and the derived category of a ring or a scheme, have a long history in geometry and algebra. More recently, thanks to work of Simpson, Toen-Vezzosi, Lurie, and many others, derived methods have been incorporated into the very foundations of the subject of algebraic geometry, leading to a variety of interesting applications and even more newly emerging questions and avenues of research.

The aim of this workshop is twofold: we aim to make some of the ideas accessible to a wider audience, with some introductory talks aimed at students and researchers interested in gaining entry into the field, while at the same time providing a forum for to present relevant research in derived geometry, broadly construed.

Topics

• Higher topoi and their homotopy theory
• Derived algebraic and analytic geometry
• Elliptic cohomology and topological modular forms
• Floer homotopy theory and link homologies
• The cobordism hypothesis and topological field theories

Further information

For inquiries please contact the Coordinators

Aaron Mazel-Gee | California Institute of Technology | Abstract

Thomas Nikolaus | Universität Münster | Abstract

Sarah Scherotzke | Université du Luxembourg | Abstract 

Nicolò Sibilla | SISSA Trieste | Abstract 

Hiro Lee Tanaka  | Texas State University |  Abstract

Georg Biedermann | Universidad del Norte

Title: Generalized Blakers-Massey theorems and Goodwillie calculus in infinity-topoi

Nitu Kitchloo | Johns Hopkins University

Title: Homotopy types for link homologies | Symmetry breaking and link homologies I | Symmetry breaking and link homologies II

Akhil Mathew | University of Chicago

Title: Algebraic K-theory and chromatic homotopy theory

Lennart Meier | Universiteit Utrecht

Title: Equivariant elliptic cohomology and spectral algebraic geometry

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