Geometry and Arithmetics

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The Department of Mathematics at the University of Miami will host aWinter Conference and School in December 2005 entitled "Arithmetic,Algebraic and Symplectic Geometry". The conference will focus onpromotion and incorporation of recent advances in higher dimensionalalgebraic geometry into arithmetic and symplectic research directionsand the creation of new bridges between projective geometry andfoliation theory, between singularity theory and reconstructive Galoisproblems and between the geometry of coherent sheaves and symplectictopology. The award will support junior researchers and graduatestudents from U.S. institutions and will enable the dissemination ofgeometric techniques among the new generation of young scientists.The conference will address difficult classical questions about the hidden symmetries of the physical world, the large scale structure of space-time and the properties of matter athigh energies. This activity aims to advance our understanding of themathematical methodology necessary to handle such questions and toproduce results applicable in stringy physics, soft condensed matter theoryand mathematical biology.