理化学研究所 数理創造プログラム 基礎科学特別研究員
- 2019-04-01 - 基礎科学特別研究員
Hello, I am Kenta Sato. My major is mathematics, in particular algebraic geometry. In algebraic geometry, we study algebraic varieties, which are defined as the zero sets of polynomial equations. When you hear polynomials, you may imagine polynomials whose coefficients are integers, rational numbers, or complex numbers. But, it is sometimes important to consider polynomials whose coefficients are in some other field, for example a field of positive characteristic.
I have been studying polynomials, rings and algebraic varieties over a field of positive characteristic. In particular, I am interested in F-singularities and globally F-regular varieties, which are defined in terms of positive characteristic methods. I also hope to find some application of positive characteristic methods to problems in mathematics and other areas.
2019年5月16日16:00 - 18:10