David Roe

Abstract: The Langlands correspondence relates global Galois representations with automorphic representations; the local correspondence works at each prime. For any reductive group $G$ over a local field $K$ we construct a complex reductive group $...

Abstract: Work of DeBaker and Reeder is generalized to the case of reductive groups splitting over a tam extension of the field of definition.

an activity of the PIMS L-functions and number theory collaborative research group

Abstract: The study of numerical stability of algorithms for computing with polynomials and matrices over archimedian fields like R and C constitutes an entire branch of numerical analysis. The analogous problems over Qp have received far less...

Abstract The study of numerical stability of algorithms for computing with polynomials and matrices over archimedian fields like R and C constitutes an entire branch of numerical analysis. The analogous problems over Qp have received far less...

We're following Jay Pottharst's notes, available at http://math.bu.edu/people/potthars/writings/log.str.pdf, and the lectures by Arthur Ogus at http://math.berkeley.edu/~ogus/preprints/log_book/logbook.pdf.

Standard numerical methods focus on algorithms for matrices over the real and complex numbers: finding singular value decompositions, eigenvalues and eigenvectors, QR and LU decompositions. Many of the same questions make sense for non-archimedian...