John Milnor: Spheres
Winner of the 2011 Abel Prize for mathematics John Milnor presented an historical account of work on topological and differential spheres in a special colloquium.
Mathematicians have analyzed the possible shapes and topologies of space in many dimensions since the late 1800s when the field of topology originated. Milnor's lecture traced the work of leading topologists analyzing and dissecting the possible shapes, or topologies of space, in various dimensions. Spheres have been a central theme of topology for the last 60 years and Milnor initiated that study. He said that the first real breakthrough in high-dimensional cases came in 1961 and that topologists had success in dimensions two and below and five and above, leaving third- and fourth-dimensional shapes, which proved most difficult, to be solved. He described the work he did with French mathematician Michel Kervaire in the 1960s on 7-D (dimensional) spheres that a number of other contributors carried on when he and Kervaire stopped collaborating. Although mathematicians continued to work on the classification of spheres in dimensions higher than four, the 4-D case is still open, said Milnor.
Видео John Milnor: Spheres канала Stony Brook University
Mathematicians have analyzed the possible shapes and topologies of space in many dimensions since the late 1800s when the field of topology originated. Milnor's lecture traced the work of leading topologists analyzing and dissecting the possible shapes, or topologies of space, in various dimensions. Spheres have been a central theme of topology for the last 60 years and Milnor initiated that study. He said that the first real breakthrough in high-dimensional cases came in 1961 and that topologists had success in dimensions two and below and five and above, leaving third- and fourth-dimensional shapes, which proved most difficult, to be solved. He described the work he did with French mathematician Michel Kervaire in the 1960s on 7-D (dimensional) spheres that a number of other contributors carried on when he and Kervaire stopped collaborating. Although mathematicians continued to work on the classification of spheres in dimensions higher than four, the 4-D case is still open, said Milnor.
Видео John Milnor: Spheres канала Stony Brook University
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
Sounds From Studio A: "Haven't We Met Before?"Community Conversation: SBU Finance OverviewStony Brook CDF Freedom Schools ProgramStony Brook University New Student Convocation: August 27, 2016Global Engineering Field SchoolStony Brook University 2023 School of Social Welfare ConvocationFurther, Faster: Student Stories :15Stony Brook School of Health Professions Athletic Training ProgramStony Brook Students React to Supreme Court Justice Sonia SotomayorStony Brook University - Provost's Lecture Series with Rob BassoHow 2020 Will Change Us: David WiczerInaugural Symposium:Tackling Inequality in Higher Education - Past & PresentStony Brook Moment: Dannah Rae SajordaStony Brook Professors Exploring the Surface of MarsFocusing on CollaborationStony Brook University Provost's Lecture Series with John HartwigEngineering and Applied Sciences Commencement 2019Leadership for the Future of Work with Ross DawsonThe Making of Stony Brook Medicine's "Pink Glove Video"Stony Brook University Provost's Lecture Series: Joan T. RichtsmeierCollege of Engineering and Applied Sciences: 2018 Year-in-Review