中国科大学位与研究生教育
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主讲教师:缪龙 人气:41 更新时间: 2017年05月25日
摘要:我们主要考察了p-模子群的指数对有限群的超中心嵌入结构的影响,揭示了p-模子群与p-超可解群类的深刻联系。
主讲教师:李立斌 人气:28 更新时间: 2017年05月25日
摘要:Representationringorrepresentationalgebraprovidesanaturalframeworkforthestudyoftensorcategory(suchasthecategoryoffinitedimensionalrepresentationsovergroupalgebra,Liealgebra,Hopfalgebraandquantumgroups),andhavebeenprovenusefulinrepresentationtheoryandotherfields.Inthistalk,wewillbasicpropertiesofrepresentationringandrepresentationalgebra,andthenreportsomenewtrendsinepresentationalgebraofsomeclassesofHopfalgebrasandapplications.
主讲教师:陈艳萍 人气:51 更新时间: 2017年05月22日
报告摘要:Themiscibledisplacementofoneincompressiblefluidbyanotherinaporousmediumisgovernedbyasystemoftwoequations.Oneisellipticformequationforthepressureandtheotherisparabolicformequationfortheconcentrationofoneofthefluids.Sinceonlythevelocityandnotthepressureappearsexplicitlyintheconcentrationequation,weuseamixedfiniteelementmethodfortheapproximationofthepressureequation.Inordertofindastablefiniteelementdiscretizationmethodmethod,weusedifferentdiscretizationmethodfortheconcentrationequation,suchasfiniteelementmethodwithcharacteristic;mixedfiniteelementmethodwithcharacteristic;expandedmixedfiniteelementmethodwithcharacteristicetc.Tolinearizethediscretizedequations,weuseone(two)Newtoniterationsonthefinegridinourmethods.Firstly,wesolveanoriginalnon-linearcouplingproblem.Then,solvealinearsystemonthefinegridandwhileinsecondmethodwemakeacorrectiononthecoarsegridbetweenone(two)Newtoniterationsonthefinegrid.Weobtaintheerrorestimatesoftwo-gridmethod,itisshownthatcoarsespacecanbeextremelycoarseandweachieveasymptoticallyoptimalapproximation.Finally,numericalexperimentindicatesthattwo-gridalgorithmisveryeffective.
主讲教师:徐浩 人气:223 更新时间: 2017年05月22日
Abstract:Short-timeasymptoticexpansionoftheheatkernelplayedanimportantroleinspectralgeometry.Wesurveymethodsofcomputingtheasymptoticexpansioncoefficientsofheatkernelsandtheirapplicationsinspectralgeometry.WewillpresentourworkonFeynmandiagramformulasforthecoefficientsintheasymptoticexpansionofheatkernelsonKahlermanifolds.
主讲教师:Zhaosheng Feng 人气:94 更新时间: 2017年05月20日
摘要:Inthistalk,wedevelopaconnectionbetweenanordinarydifferentialequationthatiscubicintheunknownfunction,andtheKuramoto-Sivashinskyequation,apartialdifferentialequationthatoccupiesaprominentpositionindescribingsomephysicalprocessesinmotionofturbulenceandotherunstableprocesssystems.WeconverttheproblemintoanequivalentintegralequationbyusingtheAbeltransformation.BymeansoftheLiesymmetryreductionmethodandthePreller-Singerprocedure,weshowthatthereexistnontrivialboundedwavesolutionsundercertainparametricconditions.Numericalsimulationsofwavephenomenaareillustrated,whichprovideusrichdynamicalinformationandareinagreementwithourtheoreticalanalysis.
主讲教师:Xiaofei Zhao 人气:180 更新时间: 2017年05月22日
报告摘要:Differentialequationsintroducingfastfrequenciesintothetimedirectionofthesolutionsareknownashighlyoscillatoryproblems.Theseproblemswidelyoccurinmathematicalmodellingandsimulations.Tocapturethecorrectbehaviourofthesolution,standardnumericalmethodsrequirestepsizesmallenoughtoresolvethehighoscillations,whichcausesheavyworkloadinpracticalcomputations.Inthistalk,wearegoingtopresentsomemultiscaletechniquesproposedinrecentyearsinordertoenlargethediscretisationstepsizeforthehighlyoscillatoryequations.Inparticular,wearegoingtoaddresstheuniformlyaccuratemethodswhichallowtousestepsizetotallyindependentofthefastfrequency.Theequationswearegoingtoinvestigateincludethesecondorderwavetypeequations,somecoupledwaveanddispersivesystemandkineticequations.
主讲教师:吴国强 人气:272 更新时间: 2017年05月22日
Abstract:InthistalkwediscussRicci-harmonicflowonwhichthescalarcurvatureisbounded.Atfirst,weestablishatimederivativeboundforsolutiontotheheatequation,basedonthis,wederivethedistancedistortionestimateandtheexistenceofacutofffunction.AtlastweusethesetogettheheatkernelupperboundandlowerboundalongRicci-harmonicflow.ThisisjointwithProfYiLi.
主讲教师:Dhruv Mubayi 人气:142 更新时间: 2017年05月19日
Abstract:IwilldiscussrecentprogressonavarietyofoldandnewproblemsinhypergraphRamseytheory.TheseincludeclassicalRamseynumbers,andvariousquestionsofErdos,Hajnal,GyarfasandRogersdatingbacktothe1970s.
主讲教师:欧阳诚 人气:123 更新时间: 2017年05月17日
Abstract:Inaseriesofthreepapersinthe80’s,KusuokaandStroockdevelopedaprobabilisticprograminordertoobtainsharpboundsforthedensityfunctionofahypoellipticSDEdrivenbyaBrownianmotion.WeaimtoinvestigatehowtheirmethodcanbeusedtostudyroughSDEsdrivenbyfractionalBrownianmotions.Inthistalk,IwilloutlineKusuokaandStroock’sapproachandpointoutwherethedifficultiesareinourcurrentsetting.ThetalkisbasedonanongoingprojectwithXiGengandSamyTindel
主讲教师:Charles J. Colbourn 人气:120 更新时间: 2017年05月17日
Abstract:Coveringarraysareusedtotestthecorrectnessofcomplexengineeredsystemswithkcomponentseachhavingvoptions,whencollectionsofatmosttcomponentoptionscancausefailures.Ofmostinterestarecaseswhen2≤t≤6and2≤v≤10,butkcanbequitelarge,perhapsinthehundredsorthousands.Theconstructionofcoveringarrayswithfewtestsisachallengingmathematicalandcomputationalproblem.Coveringperfecthashfamiliesrepresentcertaincoveringarrayscompactly.Inthistalkwedescribehowcoveringperfecthashfamiliesleadtoanimprovementuponthebestknownasymptoticupperboundfortheminimumnumberoftests(rows)inacoveringarraywithvsymbols,kcolumns,andstrengtht.Wethenshowthatthecompactrepresentationmakesthecomputationof‘large’coveringarraysmeetingthenewboundfeasible:OnemethodusesthedeterministicLov′aszlocallemma,anotherusesaconditionalexpectationapproach.Forexample,wereportonimprovedboundsforcoveringarraysofstrength3withk≤10000,anddemonstratethatthemethodsremainfeasibleevenforstrength7,forwhichnoexplicitcomputationalresultshaveearlierbeenreported.Weclosebyoutliningconnectionswith?nite?eldsand?nitegeometry,andsuggestsomeimportantnextsteps.ThisisjointworkwithErinLanusandKaushikSarkar(ASU).
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Aranda Pino
Profesor of Department of Algebra, Geometry and Topology Science Faculty, University of Málaga, Spain. Research Interests: Leavitt path
Nikos Hadjichristidis
Prof. Nikos Hadjichristidis, Department of Chemistry, University of Athens.
蔡荣根
中国科学院理论物理所研究员,博士生导师。中国引力和相对论天体物理学会副理事长(2008-) 中国科学技术大学交叉学科理论研究中心兼职教授
欧阳钟灿
欧阳钟灿,中国科学院院士。1968年清华大学自控系毕业,1981年清华大学物理系固体物理专业获硕士学位,1984年获光学专业理学博士学位。1985-1986年在理论物理所
Manuela M. Veloso
Manuela M. Veloso教授是国际人工智能和自主机器人领域的主要学界领导人和学术带头人之一,取得了一系列杰出成就,其中部分成果产生了深远的影响。
庄小威
庄小威,华裔美籍生物物理学家,美国国家科学院院士, 哈佛大学化学与化学生物、物理学教授,创办有庄小威实验室。
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