# Morse and symplectic invariants over spectra

## Location

We often convert intricate geometric data (such as counts of

holomorphic disks) into manipulable algebraic data (such as cochain

complexes). In this talk, we discuss joint work with Jacob Lurie

demonstrating that classical invariants can be upgraded to produce far

richer algebraic data (out of the same old geometry). More

specifically, we discuss a program to enrich Lagrangian Floer theory

over spectra in the sense of stable homotopy theory. Such a program

began in many ways with the work of Cohen-Jones-Segal in the 1990s; in

this talk, we will describe a new approach involving a moduli stack of

broken holomorphic strips on a point.