120周年校慶系列學術活動：Combinatorics in a Truncated Board: Permutations, Lattice Paths and Combinatorial Statistics

主 講 人 ：宋春偉    教授

活動時間：11月11日09時00分    

地      點 ：騰訊會議：820-461-477

講座內容：

The studies of permutation statistics and lattice paths form a closely intertwined complex.Traditional theories are mostly about related combinatorics of a square board.In this talk, we outline extensions of traditional (des, inv) jointdistributions of permutations from the domain of a square board to that of atruncated board, as well as maj q-analogue of lattice paths from an upper halfboard to a truncated rectangle. In either case, an isosceles triangle is cut off from the southeast corner of the board. Connections to permutations of bounded drop size are discussed in the former part. Celebrated result ofF\"urlinger and Hofbauer, which is itself a refinement of the q-Catalannumbers, is generalized in the latter.

主講人介紹：

宋春偉，北京大學數學科學學院教授，現兼任中國數學會理事、組合數學與圖論專業委員會委員。研究領域為Enumerative Combinatorics & Graph Theory，學術工作發表在Discrete Mathematics、Rocky Mountain J. Math.、Proceedingsof the AMS等多種專業期刊，著有《組合數學》（與人合編）、《數學天書的證明》（與人合譯）等。

發布時間：2022-11-05 14:20:01