ALGEBRAIC STRUCTURE OF MANIN SCHECHTMAN HIGHER BRAID GROUPS AND STRATIFICATIONS OF DISCRIMINANTAL ARRANGEMENTS

Research Project

Project/Area Number	21K03193
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Multi-year Fund
Section	一般
Review Section	Basic Section 11010:Algebra-related
Research Institution	Hokkaido University
Principal Investigator	セッテパネーラシモーナ北海道大学, 理学研究院, 准教授 (40721890)
Project Period (FY)	2021-04-01 – 2024-03-31
Project Status	Granted (Fiscal Year 2021)
Budget Amount *help	¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000) Fiscal Year 2023: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000) Fiscal Year 2022: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000) Fiscal Year 2021: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords	algebra / combinatorics / hyperplanes arrangements
Outline of Research at the Start	The research is related to special positions of points in the space. In this respect it is connected to data analysis ( as data are represented, in general, as points in the space ), but also to positions of particles in the space (physics) and molecules (chemistry and biology).