On the cohomology of the general linear groups over prime fields

Thời gian: 15:30 đến 16:30 ngày 09/10/2023, 15:00 đến 16:00 ngày 16/10/2023, 15:00 đến 16:00 ngày 23/10/2023, 15:00 đến 16:00 ngày 30/10/2023, 15:00 đến 16:00 ngày 06/11/2023,

Địa điểm: Phòng C101, VIASM, 157 phố Chùa Láng, Hà Nội

Lecturer: Prof. Huynh Mui

Abstract: 

This is an elementary course in modulo p cohomology of finite groups. Let X be a finite set and V a vector space on the prime field Fp. Then V, as a set, can be included in X if the cardinal number of X is not smaller than that of V. The symmetric group Sym(X) on X contains two special subgroups: the group E(V) of all translations on V and the general linear group GL(V). The groups Sym(X), GL(V) and E(V) form a beautiful picture like the simple picture composed of the natural numbers, the prime numbers and the arrays of multiples of certain natural number. We shall talk about this picture in the cohomology, and give some remarks on the cohomology of GL(V) in an easy way.

Mode of participation: hybrid
Link Zoom:
Join Zoom Meeting https://zoom.us/j/98263648478?pwd=TEFQcUZMQSt4YTkydDl3ZitodjdrZz09

Meeting ID: 982 6364 8478
Passcode: 2023