Connection link: https://hu-berlin.zoom.us/j/61686623112 [4]
Contact: Gaetan Borot (gaetan.borot@hu-berlin.de)
The Tate--Hochschild complex is a complex stitched together from Hochschild homology and cohomology of an associative Frobenius algebra.It appears naturally in the study of singularities and in representation theory. There are known operations on this complex which are extensions the cup product,Gerstenhaber bracket and their duals which include the Goresky-Hingston (co)product,the existence of which is already non-trivial. There are also mixed products, whichyield and m_3 multiplication which is part of an A_infty structure with all m_i= 0 for i >4, aswas shown by Rivera and Wang.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/10472
[4] https://hu-berlin.zoom.us/j/61686623112