中国图象图形学学会数字媒体取证与安全专业委员会成立大会暨CSIG第一届数字媒体取证与安全前沿学术研讨会

Abstract：ForaboundedconvexdomainonaRiemannianmanifold,thefundamentalgapisthedifferenceofthefirsttwonon-trivialDirichleteigenvalues.Intheircelebratedwork,B.AndrewsandJ.ClutterbuckprovedthefundamentalgapconjectureforconvexdomainsintheEuclideanspace,showingthatthegapisatleastaslargeastheoneforaone-dimensionalmodel.Theyalsoconjecturedthatsimilarresultsholdforspaceswithconstantsectionalcurvature.Veryrecently,ontheunitsphere,Seto-Wang-Weiprovedthatthefundamentalgapisgreaterthanthegapoftheonedimensionalspheremodel,inparticular,≥3π^2/D^2(n≥3),providedthediameterofthedomainD≤π/2.InajointworkwithGuofangWeiatUCSB,weextendSeto-Wang-Wei’slowerboundestimatetoallconvexdomainsinthehemisphere.

Abstract：WedevelopPerelman\'slambdafunctionalonmanifoldswithconicalsingularities.ThisisessentiallyaneigenvalueproblemforasingularSchrodingeroperator.Andtheasymptoticbehaviorofeigenfunctionsnearthesingularitiesplaysanimportantrole.ThisisjointworkwithProf.XianzheDai.

摘要：ThetheoryofdistributionswereintroducedbySergeiSobolevandLaurentSchwartzindependentlyintheearly20thcentury.Itisusefulinmanyareasinmathematics,rangingfromPDEtonumbertheory.Modernmathematicsandphysicsresearchsuggestaneedtoconsidersingularitiesinthetestfunctionspace.Thetheoryofthickdistributionsindimensiononewasinitiallyintroducedtodealwiththeoccurrenceofadistributionalsingularityontheboundaryofadomainofintegration.Weintroducedasimilartheoryinhigherdimensions[1],yettheapproachwasquitedifferent:weconsideredasymptoticexpansionsoftestfunctions.Iwillexplainthemotivationsofourwork.Iwillpresenttheconstructionofthenewspaces,Iwillpresentseveralimportantexamplesofthickdistributions,includingthe“thickdeltafunctions".Asymptoticexpansionsofthickdistributionswillalsobementioned.IntheendIwillbrieflydiscussfutureresearchdirectionsandhowthespaceofthickdistributionscouldshedlightondifferentresearchareas.ThisisajointworkwithmythesisadvisorRicardoEstrada.

研究生短期课程【戴先哲、韦国芳】课程名：OneigenvaluescomparisoninRiemanniangeometry授课人：美国加州大学圣巴巴拉分校戴先哲教授、韦国芳教授授课地点：东区管理科研楼数学科学学院1518室授课时间：7月4日、5日、6日上午10:00--11:30

2017未来物理学家夏令营

报告摘要:先民对生业策略的选择与许多因素有关，其一即为环境。本研究重建台湾地区的植被历史以推估过去的气候变化，并与由人骨骨胶原碳氮同位素组成所推估的先民食谱进行比较。结果指出新石器中晚期(4500-2000yrBP)的气候状况较冷干；铁器时代(2000-400yrBP)气候转为暖湿。同位素证据表明新石器中晚期的先民生业策略表现为广泛性取食，与遗址的地理位置有关联；至铁器时代则转而依赖陆地和淡水资源，对海洋资源的摄取量则较少。此一食谱组成的转变与此气候变化呈现相关性，似可解释为暖湿的气候较适合农业发展，使铁器时代的先民较不需依赖海洋资源。

Abstract:InthistalkIwilldiscusssomenonlinearproblemsinelectromagneticfields.Thefocuswillbeontheproblemsrelatedtothemicrowaveheatingandinductiveheatinginindustries.ThemathematicalmodelsconsistofMaxwell’sequationscoupledwithanonlinearheatequation.Somerecentresultsonexistenceandregularityofweaksolutionwillbediscussedinmytalk.

美国南佛罗里达大学刘尧博士学术报告会题目：Location-restrictedServicesAccessControlLeveragingPinpointWaveforming时间：2017年6月30日15:00地点：西区电三楼632学术报告厅

Mini-Workshop:Liegroupactionsonsymplecticmaniolds会议时间：2017年7月1日-2日会议地点：数学学院1518会议日程：7月1日:9:00-9:45张斌（四川大学）环簇的Todd类的重整化研究10:15-11:00贺琛（NortheasternUniversity）GKMdescriptionsoftheequivariantcohomologyringsofhomogeneousspaces11:05-11:50陈小杨（同济大学）Symplecticaspectsofpolaractions2:00-2:45李慧（苏州大学）Thefundamentalgroupofsymplecticandcontacttoricmanifolds2:50-3:35周久儒（扬州大学）BasiccohomologygroupdecompositionofK-contactmanifolds4:05-4:50杨向东（重庆大学）EquivariantformalityofHamiltoniantransverselysymplecticfoliations7月2日:9:00-9:45洪伟（武汉大学）PoissoncohomologyofholomorphictoricPoissonmanifolds10:15-11:00林毅（GeorgiaSouthernUniversity）Convexitypropertiesofmomentmapsintransverselysymplecticgeometry