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庞加莱猜想将是2006年国际数学家大会的焦点
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??????2006??????????????????????????????????????????????п?????????????2006????????????????????????? ????????????????????Grisha Perelman?????????????????20????????????????????????????????Щ?????????????????????????????????????????У???????????????????? ????????в???????????????????????????????г??????2000??Clay ?о?????????????7?????????????????????????????Grisha Perelman??????????????????????????????????????????????1994??????????????????г???????????8??????2003??5??????????????????????????????????????????3?????????????????????????????????????????????????????????????????2006??????????????????????????? ??????????????λ????????????????Richard Hamilton?????John Morgan????????????????????档 ??Grisha Perelman???????????????????Richard Hamilton????????????????Grisha Perelman?????????????????????????棻??????????????????????????????????????????????ǹ??????????п????????????????????????????????????????????????? ???????? ?????????????????????????????????????????????????????????????????????? ???????????????  ????????R, ??J.-??H. ??Jules-Henri Poincare 1854-1912?? ???????????W???1854??4??29????????a??1912??7??17???????衣1873??10???????????????C?????WУ??1879??????W??ī@????Wλ?????????????W??W????v????1881???????W????????????? ?????????R???о??漰??????????W?????W?????W???S???I????????????????????W???档???????????????????????????????1878?????????M???????????R??????????????????????????????????????????????????????????????????K?l?F?@?N???????????????????????????Ч?á?1883???????????????????????????M???о???????????????о????????????L?????c?????_??????????^????????L????g???P?S?? ?????????R?????о???????????l??????????????}????1881~1886??l????????P??????????_????e????????????У?????????????????????????о???????????????N????????c?????c?????c???Y?c???????????????B??????????????O??h???P?S???????ж??????????1885?????????W????????O????n?w???}???????????????????R?о????w???W???}???d????????P?????w?е????|?????????С????r?????w???}??????????ī@??????C?????@?N?????????w???}????????????B?m?y????????@???????M?????????W???w?о??????M???u?M??_????????ó?????????w???W????g?????_?????????y?????1895???C??????????R??w???????????????w???W????????????Y???????????????????D?????w???Π????????????D?E???w???????S?E???w??h???w????????N?????R?????w????? ?????????R?????W??????????????????I??????????C?????????????}?????????1890?????@????????????λ??????°l???????о?????????????????????}???o??????????????纯?????????????C????1894????????e??????????M?}?????????????M?????????????l??? ?????????R???F?????W????????????????M?????W???????M??????????????????????????????????ε??????????μ??}???Ρ?????????????}???Ρ??}???ε??P?B??????????????????????V?W???????w?????????W??-?????R??????K?C?????ε???{????????????????????R????????????R???????????У??????????????w???}?????????????}?w?Y???M????N?l????????B?m??Q?????c???????}?? ?????????R??????????W????????????????<>??1901???_?????G???D?????????????о????????x?????????????????G???D??ε?????о?????????????W?????M???????Group Algebra???K?C??????????????????M??????????????????????䶮?C???????????????????????The third foundamental theorem of Lie Algebra?? ????????-?????????1899????????M?????????j??????Borel Algebra?????K????????????????C?????????R-???????-?S??????? ?????????R??????????W????????V?????о??????M?x??????????????I??????1899???_??о??????????????J?R?????????Q??????? ?????????R????W????<>??1902????<>??1905????<>??1909???????????????? ?????????????????????????????????????????????????????????????????????? Millennium Problems Poincar?? Conjecture If we stretch a rubber band around the surface of an apple, then we can shrink it down to a point by moving it slowly, without tearing it and without allowing it to leave the surface. On the other hand, if we imagine that the same rubber band has somehow been stretched in the appropriate direction around a doughnut, then there is no way of shrinking it to a point without breaking either the rubber band or the doughnut. We say the surface of the apple is "simply connected," but that the surface of the doughnut is not. Poincar??, almost a hundred years ago, knew that a two dimensional sphere is essentially characterized by this property of simple connectivity, and asked the corresponding question for the three dimensional sphere (the set of points in four dimensional space at unit distance from the origin). This question turned out to be extraordinarily difficult, and mathematicians have been struggling with it ever since.  ?????????????????????????????????????????????????????????????????????? ??2006??????????????????? 2006??????????????????????????????????????????????????й????????1??--?п?????????????о????????о??; ???????????????4??(3λ45????, ?λ?С?). ??????????о??????2006??8??????????????????е???????????????????Session 16(Numerical Analysis and Scientific Computing)????45?????????档 ??????????о???????п?????????????о?????????????????????о??????????????????????????????????????Ρ?????о??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????PML????????????к???????????????????????????????????????????1999??????й????????????????? 2000??????????????????2001???????????? ??????п?????????????о???????CAM Digest ?????????????????????????????????????????????????????????????????????? ICM2006 Welcome to the ICM2006 website On behalf of the Organizing Committee, we are very pleased to invite you to attend the International Congress of Mathematicians to be held in Madrid (Spain) from 22 to 30 August, 2006. On this webpage you will find all the information you need to plan your participation at the ICM2006. Following the long standing tradition of these congresses, ICM2006 will be a major scientific event, bringing together mathematicians from all over the world, and demonstrating the vital role that mathematics play in our society. We very much hope you will be able to attend it. Please add this page to your bookmarks and ask your colleagues to do so too. We hope you will visit this site regularly to keep up to date with the developments of the organization of the ICM2006. We are looking forward to having you here. Welcome to our site and see you in Madrid! Manuel de Le??n President of the Organizing Committee Carlos Andradas Vicepresident General http://www.icm2006.org/paginas/?pagina=home_ing
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