Computing with Categories of Matrix Factorisations
报告人：Daniel Murfet (University of Melbourne)
时间：2018-11-29 14:00 - 2018-11-29 16:00
地点：Room 9, Quan Zhai, BICMR
Matrix factorisations are to isolated hypersurface singularities as bounded complexes of coherent sheaves are to compact Calabi-Yau varieties, and they are organised by various kinds of categories: the matrix factorisations of an individual singularity form a triangulated category, which may be refined to a differential graded category (or even better/worse an A-infinity category), while the collection of all isolated hypersurface singularities may be organised into a bicategory with matrix factorisations as 1-morphisms between singularities. I will begin with a general introduction to this story.\u00a0
One of the reasons to like matrix factorisations is that one can get one’s hands dirty and compute with them! I will explain some of the interesting structures (Clifford representations and Atiyah classes) that arise in the concrete details of working with bicategories and A-infinity categories of matrix factorisations.