主讲人：Prof.Adriano Garsia（美国UCSD）

时间： 3月18日（周五）16：00-17：00

地点：数学科学学院 101教室

备注：Abstract: An upper triangular matrix $A=\|a_{i,j} \|_{i,j=1..n}$ with non negative integer entries is a Tesler matrix of shape $(p_1,p_2,\ldots ,p_n}$ if and only if for every diagonal element $a_{s,s}$ the sum of the elements in its row ($a_{s,s}$ included) minus the sum of the elements in its column ($a_{s,s}$ excluded) is equal to $p_s$. In a recent work Jim Haglund proved that the sum of (suitable) weights of Tesler matrices of shape $(1,1,\ldots ,1)$ and size n x n gives the bigraded Hilbert series of Diagonal Harmonics. In this talk we present several combinatorial connections between the Tesler matrices, Parking Functions and Diagonal Harmonics.