Matrix factorisation for Morse-Bott functions
-- Constantin Teleman, November 18, 2016

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For a holomorphic function (super-potential) W with a single critical
point on an affine algebraic (or complex) manifold, one can define a
matrix factorisation category, which gives boundary conditions for the
B-model of a topological field theory. When the singularity is of Morse
type, the category is equivalent to that of Clifford modules. I will
explain (the corrected version of) a conjecture of Kapustin, Rozansky
and Saulina which generalises this to Morse-Bott singularities. An
excursion in higher deformation theory and L-infinity structure will be
needed.