欧几里得项目
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作者:Yu-Jong Tzeng
来源:[J].Current Developments in Mathematics, 2011, Vol.2010, pp.95-115
摘要:These notes are supplementary to the author’s lectures atthe 2010 conference on Current Developments in Mathematics, held onNovember 19-20 in Cambridge Massachusetts.
作者:Henryk Iwaniec
来源:[J].Current Developments in Mathematics, 2003, Vol.2003, pp.35-52
摘要:I shall emphasize the role of automorphic forms in harmonic analysis because they are indispensable in analytic number theory, which is my primary subject of interest.A lot has been presented to the general forum about modular forms in algebraic number theory,in particular after ...
作者:Mark Haiman
来源:[J].Current Developments in Mathematics, 2002, Vol.2002, pp.39-111
摘要:We survey the proof of a series of conjectures in combinatorics using new results on the geometry of Hilbert schemes. The combinatorial results include the positivity conjecture for Macdonald's symmetric functions, and the " n! " and " (n+1) n-1 " conjectures relating...
作者:Leslie Saper
来源:[J].Current Developments in Mathematics, 2002, Vol.2002, pp.219-289
摘要:This expository article gives an introduction to the (generalized) conjecture of Rapoport and Goresky-MacPherson which identifies the intersection cohomology of a real equal-rank Satake compactification of a locally symmetric space with that of the reductive Borel-Serre compactif...

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