Wild Ramification of Schemes and Sheaves

Takeshi Saito
2011 Proceedings of the International Congress of Mathematicians 2010 (ICM 2010)  
We discuss recent developments on geometric theory of ramification of schemes and sheaves. For invariants of -adic cohomology, we present formulas of Riemann-Roch type expressing them in terms of ramification theoretic invariants of sheaves. The latter invariants allow geometric computations involving some new blow-up constructions.
doi:10.1142/9789814324359_0054 fatcat:5aig6a4k75empli7taghoje6hu