The Geometry and Cohomology of Some Simple Shimura Varieties

Explore the intricate world of advanced mathematics with Geometry and Cohomology of Some Simple Shimura Varieties by Michael Harris, published by Princeton University Press in 2001. This comprehensive 288-page paperback delves into the local Langlands conjecture, offering valuable insights and proofs for GLn over a p-adic field. Harris meticulously identifies the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of "simple" Shimura varieties, making this book an essential resource for mathematicians and students alike. Whether you're deepening your understanding of algebraic geometry or exploring number theory, this work stands as a significant contribution to the field. Enhance your mathematical library with this thought-provoking and scholarly text.