报告人简介：1977年出生于四川成都，2000年于中国科技大学获得学士学位，同年赴美国留学。在哥伦比亚大学化学系师从COLINNUCKOLLS教授，2005年获博士学位。在加利福尼亚大学洛杉矶分校FREDWUDL教授指导下进行一年博士后训练之后，于2006年加入香港中文大学化学系任助理教授，其后于2012年晋升副教授，2016年晋升教授。2015年至2018年任香港中文大学化学系副系主任及研究生学部主任。研究领域包括新颖的共轭分子的设计、合成与自组装，有机半导体材料与器件。Heinvestigatesnovelfunctionalmoleculesandhigh-performanceorganicelec-tronicmaterialsonthebasisoforganicchemistryandusingtoolsfromorganicsynthe-sis,supramolecularchemistryandsurfacechemistry.Therecentfocusofhisresearchincludesorganicsemiconductormaterialsanddevices,andnovelnon-planarπ-molecules.MostofhisresearchresultswerepublishedinJACS,ACIE,AdvancedMaterialsandotherprestigiousjournals.

Abstract：TheformalityconjectureforK3surfaces,formulatedbyD.KaledinandM.Lehn,statesthatonacomplexprojectiveK3surface,thedifferentialgradedalgebraRHom(F,F)isformalforanycoherentsheafFpolystablewithrespecttoanamplelinebundle.Inthistalk,Iwillexplainhowtocombinetechniquesfromtwistorspaces,dgcategoriesandFourier-Mukaitransformstoprovethisconjecture,andhowtogeneralizeittoderivedobjects.BasedonjointworkwithNeroBudur.

Abstract：PerelmanintroducedaseriesofnewconceptsandnewtoolsintothetheoryoftheRicciflow.UsingtheseandmanyotherresultsoftheRicciflowheprovedthePoincareconjecture.InthisshortcoursewewillpresentsomepartsofPerelman’swork.

报告人简介:邹立龙，男，日本東北大学助理教授，本科硕士毕业于吉林大学地球探测科学与技术学院，2013获得日本文部科学省奖学金支持在日本东北大学攻读博士学位。2016年获得博士学位后留校担任助理教授至今。邹立龙博士现在是IEEE会员、IEICE会员。主要研究领域：多通道探地雷达、干涉和极化地基合成孔径雷达(GB-SAR)及其在减灾、反问题和无损检测中的应用和分析方法。

摘要：Inthepresentpaper,westudytheRobbins-Monroprocedure$X_{n+1}=X_n-an^{-1}Y_n$withsomefixednumber$a>0$andestablishthemoderatedeviationprincipleoftheprocess${X_n}$.

Abstract：ForasmoothsurfacethecelebratedGauss-BonnettheoremtellsthattheintegrationoftheGausscurvatureisequaltotheEulernumberofsurfacetimes2pi.Alsoonacombinatorialsurface,namelyapolyhedralsurface,thereisasimilartheoremtotheabove,thatis,thesumofAngledefectateachvertexamountstotheEulernumberofsurfacetimes2pi.ThistheoremgoesbackatleastasfarasDescartes.ThustheAngledefectseemstobeacounterpartoftheGausscurvatureonapolyhedralsurface.InthistalkwejustifyitbyintroducinganotionoftheAlexander-Spaniercohomology,whichalsomakepossibleageneralizationofthetheoreminhigherdimensionalcase.Themainsubjectsinmytalkarepolyhedrons,whicharedefinitelyaccessibleforeveryone.

摘要:田刚院士现任北京大学教授、北京大学副校长、北京国际数学研究中心主任。1994年获美国国家科学基金委员会第十九届沃特曼奖，1996年获美国数学会韦伯伦奖，2002年应邀在世界数学家大会上作1小时大会报告。2001年当选为中国科学院院士，2004年当选为美国科学与艺术院院士，2018年当选为国际数学联盟执委会委员。田刚院士现任北京大学教授、北京大学副校长、北京国际数学研究中心主任。1994年获美国国家科学基金委员会第十九届沃特曼奖，1996年获美国数学会韦伯伦奖，2002年应邀在世界数学家大会上作1小时大会报告。2001年当选为中国科学院院士，2004年当选为美国科学与艺术院院士，2018年当选为国际数学联盟执委会委员。田刚院士在复几何、几何分析及数学物理领域的突出贡献主要包括：在Kahler-Einstein度量研究中，完全解决了复曲面情形，发现并证明了该度量存在性与几何不变理论中稳定性的紧密联系；与人合作，建立了量子上同调理论的严格的数学基础，首次证明了量子上同调的可结合性，解决了辛几何中著名Arnold猜想的非退化情形，以及接触几何中Weinstein猜想的稳定情形；在高维规范场数学理论研究中，建立了自对偶Yang-Mills联络与标度几何间的深刻联系，给出了用标度闭链对该种联络进行紧化的途径等。

报告摘要:Morethan3000exoplanets(planetsoutsidetheSolarsystem)havebeendiscoveredinthelasttwodecades,includingsomeEarth-likeplanetsthatcouldharborwaterandlife.However,manyexoplanetarysystemsare"extreme"andquiteunlikeourownSolarSystem:hotJupiters,super-Earths,compactmuli-planetsystems,circumbinaryplanets,etc.Theseextremeplanetarysystemsarechangingourviewofplanetaryformation.Theyraisemanypuzzlesandrequirenewtheoreticalideasandtoolsfortheirproperunderstanding.报告人简介:DongLaiisProfessorofAstrophysicsatCornellUniversity.HereceivedhisundergraduatedegreefromtheUniversityofScienceandTechnologyofChinain1988.HestudiedtheoreticalphysicsatCornellUniversity,receivingPh.D.in1994.HewastheRichardC.TolmanPrizeFellowinatCaltech,andjoinedtheCornellAstronomyfacultyin1997.HehasreceivedtheAlfredP.SloanFoundationFellowshipandtheSimonsFellowship,andalsotheOutstandingOverseaYoungScientistAwardfromNationalScienceFoundationofChina.HehasheldseniorvisitingpositionsatInstituteforAdvancedStudy,HarvardUniversity,KavliInstituteforTheoreticalPhysics,CanadianInstituteforTheoreticalAstrophysics,andseveralresearchinstiutesinChina.DongLaidirectsthetheoreticalastrophysicsgroupatCormell,focusingoncompactobjects(blackholesandneutronstars),exoplanetsandplanetformation.

摘要:Zircon(ZrSiO4)isacommonaccessorymineralthatcanbefoundonEarth,Moon,Marsandmeteorites.Duetoitsuniquerefractoryproperty,zirconcanpreserveprimarygeochemicalinformationforverylongtimeandthereforeispopularforagedeterminationsinancientrocksorimpactevents.However,deformationandtwinningarealsofoundwithinzircon,indicatingthatotherfactorssuchasstressmayalsoplayakeyroleinalteringtheshapeandmicrostructureofzircon.RadialX-raydiffractionstudyofimportantplanetarymaterialsathighpressure,togetherwithmicrostructureexaminationsofthequenchedsamplesprovidesinsightfulinformationforbetterunderstandingthevariationsoftheelasticity,structureandstrengthundercompression.Inthistalk,IwillpresentourrecentdiscoveryofoldzirconfromMoon,anddiscussthestrength,elasticityandmicrostructureofzirconathighandroompressure.Inaddition,asimplemodelforthedeformationofzirconanditsimplicationstoevolutionoftheimpactcratersandplanetswillbediscussed.

摘要:Givenadynamicalsystem,wesaythataperformancefunctionhaspropertyPifitstimeaveragesalongorbitsaremaximizedataperiodicorbit.Itisconjecturedbyseveralauthorsthatforsufficientlyhyperbolicdynamicalsystems,propertyPshouldbetypicalamongsufficientlyregularperformancefunctions.Inthispaperweaddressthisproblemusingaprobabilisticnotionoftypicalitythatissuitabletoinfinitedimension:theconceptofprevalenceasintroducedbyHunt,Sauer,andYorke.Fortheone-sidedshiftontwosymbols,weprovethatpropertyPisprevalentinspacesoffunctionswithastrongmodulusofregularity.OurproofusesHaarwaveletstoapproximatetheergodicoptimizationproblembyafinite-dimensionalone,whichcanbeconvenientlyrestatedasamaximumcyclemeanproblemonadeBruijingraph.Iftimepermits,wewillalsodisucusstheapplicationsoftheabovecomintoricaloptimizationmethodsindealingwith(non)-Sturimanmaximizing(open)problemsfordoublingmaps.