аЯрЁБс>ўџ -/ўџџџ,џџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџьЅСa №П›jbjbdd /ee™џџџџџџˆўўўўўўў4М М М 8є  4ОЮ( ( ( ( ( ( ( ( 5777777,ŒRо’cў( ( ( ( ( c ўў( ( x ( Фў( ў( 5 &ўўўў( 5 V•@ўў5 јxТМ ь 4е 5Ž0ОсTp p5 ў448 „448 University of California, Irvine Department of Mathematics Distinguished Lecture Series 2006-2007 Kenneth Ribet Professor University of California, Berkeley Kenneth Ribet has been a professor at UC Berkeley since 1978. During his career, he has received many prestigious honors and awards. In 1985, he received the department's Distinguished Teaching Award. In 1988, he was inducted as a Vigneron d'honneur by the Jurade de Saint Emilion. He was awarded the Fermat Prize in 1989. In 1997, he was elected to the American Academy of Arts and Sciences. The following year Professor Ribet received an honorary PhD from Brown University. In 2000, he was elected to the National Academy of Sciences. In addition to his research and teaching, Kenneth Ribet also serves on the editorial boards of Springer book series, including the Graduate Texts in Mathematics series, and on the boards of a number of research journals in mathematics. Public Lecture “Recent progress on Serre's conjectures” Over the last 15 years, there have been tremendous advances in our understanding of the connections among modular forms, Galois representations and algebraic varieties. Undoubtedly, the most spectacular development in this subject was the proof of Fermat's Last Theorem, which was completed in 1994. Beginning in the late 1960s, J-P. Serre proposed links of various kinds between modular forms and representations of Galois groups. In 1987, Serre wrote a seminal article that included precise conjectures relating mod p Galois representations and mod p modular forms. These conjectures were so powerful and general that they were inaccessible by then-current methods. Amazingly, these conjectures have been proved over the last two years, with the final step being contributed only several months ago. The main ideas are due to Khare and Wintenberger, with major contributions from Kisin and others. My talk will explain the history of the conjectures and some elements of the ingenious proof. Thursday, May 24, 2006 MSTB 254 Public Lecture – 4:00 p.m. Reception and refreshments – 3:30 p.m. For information contact Siran Kousherian at (949) 824-2515 or skousher@math.uci.edu http://www.math.uci.edu !;XbcqžŸЋ Ќ ­ М Н у х Ч Щ п +юсдЧКд­ —ŽƒwdQdBƒ8ŽhT7ІhЕ5PJhT7ІhЕB*CJPJph$hT7ІhЕ5B*CJOJQJph$hT7ІhЕ5B*CJOJQJphџhT7ІhЕ>*CJPJhT7ІhЕCJPJhT7ІhЕPJhT7ІhЕaJhT7ІhЕCJ(OJQJhT7ІhЕCJ$OJQJhT7ІhЕCJ0OJQJhT7ІhЕCJ,OJQJhT7ІhЕCJDOJQJhT7ІhЕB*CJ,phџ!hT7ІhT7ІB*CJ,OJQJphџ!;Xbcq{žŸЌ ­ М х Ч Ш Щ р щ ятеееееееХХХБХ››››$„Д„Д1$7$8$H$]„Д^„Дa$gdЕ$ ЦH„Д„Д]„Д^„Дa$gdЕ$„Д„Д]„Д^„Дa$gdЕ „Д„Д]„Д^„ДgdЕ „Д„Д]„Д^„ДgdЕ$„Д„Д]„Д^„Дa$gdЕ™šўўщ +,-™š›щщммммкм „Д„Д]„Д^„ДgdЕ$„Д„Д1$7$8$H$]„Д^„Дa$gdЕ+-™š›ёужвжhЕhT7ІhЕCJOJQJhT7ІhЕ5CJOJQJhT7ІhЕ5CJOJQJ-0P:pЕАа/ Ар=!А„"А„#ь$ь%ААЅ8@ёџ8 NormalCJmH sH tH V@V Heading 1$$1$7$8$@&H$a$CJ$OJPJQJZ@Z Heading 2$$1$7$8$@&H$a$6CJOJPJQJ`@` Heading 3$$1$7$8$@&H$a$B*CJHOJPJQJphџZ@Z Heading 4$1$7$8$@&H$B*CJHOJPJQJphџH@H Heading 5$$@&a$ B*CJ8phџZ@Z Heading 6$1$7$8$@&H$B*CJOJPJQJphџh@h Heading 7%$-D1$7$8$@&H$MЦ џџџџB*CJOJQJphџZ@Z Heading 8$1$7$8$@&H$B*CJOJPJQJphDA@ђџЁD Default Paragraph FontZiѓџГZ  Table Normal :V і4ж l4жaі _H(kєџС(No List \$@ђ\ Envelope Address!„@ „ќџ„єџ„№&€+DМ/„Д^„@ PB@P Body Text$1$7$8$H$a$CJHOJPJQJPP@P Body Text 2$1$7$8$H$a$ OJPJQJ\Q@"\ Body Text 3-D1$7$8$H$MЦ џџџџ OJPJQJ0U@Ђ10 Hyperlink>*B*4@B4 щŸHeader  ЦрР!4 R4 щŸFooter  ЦрР!›џџџџ!џџ z™›!;Xbcq{žŸЌ­МхЧШЩрщ+,-œ80€€ €Ц€H0€ €Ц€˜0€! !€Ц€˜0€! !€Ц€˜0€! !€Ц€˜0€! €Ц€˜0€! €Ц€˜0€! €Ц€˜0€! !€Ц€˜0€! €Ц€˜0€! €Ц€˜0€! !€Ц€X0€! €Ц€˜0€М €Ц€˜0€€ €Ц€˜0€€ €Ц€˜0€€ €Ц€˜0€€ €Ц€˜0€€ €Ц€˜0€€ М€Ц€˜0€М €Ц€˜0€€ €Ц€˜0€М 8€Ц€˜0€€ш0Љ€!;Xbcq{žŸЌ­МхЧщ+-œ§П0Й0џП€§П0Й0џП€§П0Й0џП€§П0Й0џП€§П0Й0џП€§П0Й0џП€§П0Й0џП€§П0Й0џП€§П0Й0џП€§П0Й0џП€§П0Й0&џП€§П0Й0&џП€§џ ЙАKќŠ8џП€§П ЙАKќŠ8џџџ0Й0џП€џџ0Й0џП€ 0џџП ЙАKќŠ8џП€˜0€€" š0€€џПи!H №–+› щ › š kpЇЌ‰‘’›ЃЉГКKPђїаз38žЃ!&+7W\KU™œtК2*™œ:::BKn’šі˜џџџџџџџџџ13@UШhnTџџџџџџџџџTФW’šі˜џџџџџџџџџh„а„˜ўЦа^„а`„˜ўOJQJo(‡hˆHи№h„ „˜ўЦ ^„ `„˜ўOJQJo(‡hˆHoh„p„˜ўЦp^„p`„˜ўOJQJo(‡hˆHЇ№h„@ „˜ўЦ@ ^„@ `„˜ўOJQJo(‡hˆHЗ№h„„˜ўЦ^„`„˜ўOJQJo(‡hˆHoh„р„˜ўЦр^„р`„˜ўOJQJo(‡hˆHЇ№h„А„˜ўЦА^„А`„˜ўOJQJo(‡hˆHЗ№h„€„˜ўЦ€^„€`„˜ўOJQJo(‡hˆHoh„P„˜ўЦP^„P`„˜ўOJQJo(‡hˆHЇ№h„а„˜ўЦа^„а`„˜ўOJQJo(‡hˆHЗ№h„ „˜ўЦ ^„ `„˜ўOJQJo(‡hˆHoh„p„˜ўЦp^„p`„˜ўOJQJo(‡hˆHЇ№h„@ „˜ўЦ@ ^„@ `„˜ўOJQJo(‡hˆHЗ№h„„˜ўЦ^„`„˜ўOJQJo(‡hˆHoh„р„˜ўЦр^„р`„˜ўOJQJo(‡hˆHЇ№h„А„˜ўЦА^„А`„˜ўOJQJo(‡hˆHЗ№h„€„˜ўЦ€^„€`„˜ўOJQJo(‡hˆHoh„P„˜ўЦP^„P`„˜ўOJQJo(‡hˆHЇ№h„а„˜ўЦа^„а`„˜ўOJQJo(‡hˆHи№h„ „˜ўЦ ^„ `„˜ўOJQJo(‡hˆHoh„p„˜ўЦp^„p`„˜ўOJQJo(‡hˆHЇ№h„@ „˜ўЦ@ ^„@ `„˜ўOJQJo(‡hˆHЗ№h„„˜ўЦ^„`„˜ўOJQJo(‡hˆHoh„р„˜ўЦр^„р`„˜ўOJQJo(‡hˆHЇ№h„А„˜ўЦА^„А`„˜ўOJQJo(‡hˆHЗ№h„€„˜ўЦ€^„€`„˜ўOJQJo(‡hˆHoh„P„˜ўЦP^„P`„˜ўOJQJo(‡hˆHЇ№TФWBKn13@UаЯџџџџџџџџџџџџџџџџ                  џ@€№0h [ј›P @џџUnknownџџџџџџџџџџџџGTimes New Roman5€Symbol3 Arial3TimesgMCheltenham-BookTimes New Roman;€Wingdings? Courier New AŠ№аhІJД&,ГЕFaKД&>M='M='Б№ЅРДД€>4d @№P №џџџџџџџџџџџџџџџџџџџџџџ=Uќџџ University of California, Irvinegloria coulstonSiran   ўџ р…ŸђљOhЋ‘+'Гй0Œ˜Фашє   < H T `lt|„'$University of California, Irvinegloria coulstonNormalSiran19Microsoft Word 11.3@єJЉ@ІЏCцzЧ@Ь2бЭzЧ@€‹ЉœЧM=ўџ еЭеœ.“—+,љЎ0 hpˆ˜  ЈАИР Ш ѕ'uci mathematics' !University of California, Irvine Title ўџџџўџџџ !"#ўџџџ%&'()*+ўџџџ§џџџ.ўџџџўџџџўџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџRoot Entryџџџџџџџџ РF€LsцnœЧ0€1TableџџџџџџџџˆWordDocumentџџџџџџџџ/SummaryInformation(џџџџDocumentSummaryInformation8џџџџџџџџџџџџ$CompObjџџџџџџџџџџџџXџџџџџџџџџџџџџџџџџџџџџџџџўџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџўџџџџџ РFMicrosoft Word DocumentўџџџNB6WWord.Document.8