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Newton Polygons of L-functions Associated to Deligne Polynomials
李吉有 教授(上海交通大学)
2021年5月28日14:00-15:00  闵行数学楼126室


Associated to Deligne PolynomialsIn this talk we will give an introduction to the basic theory of Newton polygonsof L-functions. As an illustration, we will then give a counterexample to Le's conjecture, which says that the Deligne polytope $\Delta_d$ is generically ordinary if $p\equiv 1\ (\bmod \ D(\Delta_d))$, where $D(\Delta_d)$ is a combinatorial constant determined by $\Delta_d$.