|DATE||July 12 (Thu), 2018|
|SPEAKER||Lee, Seok Hyeong|
|TITLE||Geometric perspective for ring parametrizations|
Since Manjul Bhargava's phenomenal 'Higher Compositions Laws' (HCL) works which gave parametrizations of number fields of degree 2, 3, 4, 5 using certain integral forms, various generalizations and improvements of HCL came out so far. One of them was Melanie Wood's works where she generalized some part of HCL to arbitrary bases (degree 2 algebra over arbitrary schemes, etc.) and added some additional correspondences in the list.