Tin tức nổi bật
Hội thảo sắp diễn ra
Gặp gỡ Toán học 2025 - Hội thảo Khoa học các nhà nghiên cứu trẻ"
Lectures on selected areas in Pure Mathematics
Hội nghị toàn quốc lần thứ VII “Xác suất - Thống kê: Nghiên cứu, ứng dụng và giảng dạy”
Xuất bản mới
A polynomial basis for the stuffle algebra and applications
Người báo cáo: Nguyễn Chu Gia Vượng
Time: 9:30 -- 11:00, April 17th, 2024
Venue: Room 612, A6
Abstract: Classical multiple zeta values were introduced and studied by Euler two centuries ago. After a seminal paper of Zagier these objects have been actively studied in various areas of mathematics and physics such as arithmetic geometry, knot invariants, quantum field theory and Witten’s zeta functions. Surprisingly, there are several connections with the well-known shuffle algebra and the stuffle algebra. In this talk, we explore these connections in the characteristic p setting. In particular, we show that the stuffle algebra in characteristic p is a polynomial algebra. As applications, we deduce a formula for the transcendence degree of the algebra generated by multiple zeta values of small weights. This is a joint work with Tuan Ngo Dac and Lan Huong Pham.