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Master's Thesis Defense

Friday, July 24. Public portion from 2-3pm.  Write to This email address is being protected from spambots. You need JavaScript enabled to view it. for an invitation to attend this Zoom meeting.

Arnab Dey Sarkar, SLU

Cremona Monomial Maps

Abstract: In 1930-1990, a presentation for the Cremona group is obtained by Masayoshi Nagata, Vyacheslav Vladimirovich Shokurov, Aleksandr Danilovich Aleksandrov, Vladimir Ivanovich Danilov for any n. A key problem is the classification of finite subgroups. This has now been proved for Cr(2), but it is still unknown if every finite group is a subgroup of Cr(4). The study of the iteration of a birational map begins to be studied. Here I have interpreted the Cremona monomial maps in terms of log matrix and then find out how many such cremona monomial maps are there of degree 1 to 20 and then we discussed the maps that commute with quadratic involution. In this thesis we will be working on classification of Cr(3) as well.