报告人：翁林 教授（日本国九州大学数理学研究院）
报告时间：2018年3月19日（周一）下午16：00-17：00
报告地点：苏州大学本部校区精正楼二楼学术报告厅
报告摘要：Overthe moduli space of rank n semi-stable lattices L is a universal family of
tori.Along the fiber R^n / L^v over [L], there are natural differential operators anddifferential equations, particularly, the heat equations, the Fokker-Planckequations in statistical mechanics, the Hamiltonians in quantum mechanics, andquantum harmonic oscillators. In this talk, we explain why, by taking averagesover the moduli spaces, all these are connected with the zeros of rank nnon-abelian zeta functions of the field of rationals.
Since aweak Riemann hypothesis is proved for these non-abelian zeta functions, all butfinitely many non-abelian zeta zeros lie on the central line. We expect thiswould give some implications in both physics and mathematics.