000 02537nam a22004098i 4500
001 CR9781316480687
003 UkCbUP
005 20200124160215.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 150604s2016||||enk o ||1 0|eng|d
020 _a9781316480687 (ebook)
020 _z9781316502594 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA564
_b.T335 2016
082 0 0 _a516.3/53
_223
100 1 _aTaelman, Lenny,
_d1980-
_eauthor.
245 1 0 _aSheaves and functions modulo p :
_blectures on the Woods Hole trace formula /
_cLenny Taelman, Universiteit van Amsterdam.
246 3 _aSheaves & Functions Modulo <I>p</I>
264 1 _aCambridge :
_bCambridge University Press,
_c2016.
300 _a1 online resource (vi, 125 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v429
500 _aTitle from publisher's bibliographic system (viewed on 11 Nov 2015).
520 _aThe Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic varieties. It leads to a version of the sheaves-functions dictionary of Deligne, relating characteristic-p-valued functions on the rational points of varieties over finite fields to coherent modules equipped with a Frobenius structure. This book begins with a short introduction to the homological theory of crystals of Böckle and Pink with the aim of introducing the sheaves-functions dictionary as quickly as possible, illustrated with elementary examples and classical applications. Subsequently, the theory and results are expanded to include infinite coefficients, L-functions, and applications to special values of Goss L-functions and zeta functions. Based on lectures given at the Morningside Center in Beijing in 2013, this book serves as both an introduction to the Woods Hole trace formula and the sheaves-functions dictionary, and to some advanced applications on characteristic p zeta values.
650 0 _aAlgebraic varieties.
650 0 _aPicard-Lefschetz theory.
650 0 _aGeometry, Algebraic.
650 0 _aCohomology operations.
650 0 _aHomology theory.
710 2 _aMorningside Center of Mathematics,
_eissuing body.
776 0 8 _iPrint version:
_z9781316502594
830 0 _aLondon Mathematical Society lecture note series ;
_v429.
856 4 0 _uhttps://doi.org/10.1017/CBO9781316480687
999 _c516229
_d516227