Lectures to be held October 2^{nd} and 3^{rd}.

Date | Time | Room | Title |
---|---|---|---|

Monday, October 2, 2017 |
4:00pm - 5:00pm | BESC 180 |
Homotopy theory and its many roles in mathematicsThis talk will be a historical summary of the origins of homotopy theory, and especially homotopy groups, and the many roles they plan in mathematical subject, ranging from the classification of manifolds to the classification of symmetry protected phases of matter. Reception to follow Lecture at the Koenig Alumni Center, 1202 University Avenue, 5:00 - 7:30pm |

Tuesday, October 3, 2017 |
4:00pm - 5:00pm | HALE 270 |
Topological quantum field theoriesThe notion of a topological quantum field theory was introduced by Witten in 1989 and axiomatized by Atiyah and Segal shortly after. It has turned out to be a surprisingly rich scheme. In this talk I will describe this notion, and how in certain circumstances it allows one to solve classification problems in condensed matter physics. Much of the material described in this talk represents joint work with Dan Freed. |

## Michael J. Hopkins |
Professor Michael J. Hopkins of Harvard University is one of the most important figures in the development of modern algebraic topology. He received his PhD from Northwestern University under the supervision of Mark Mahowald in 1984 and has been a driving force in the field since then. His work has influenced mathematics across fields. In stable homotopy theory, his work on chromatic phenomena and topological modular forms have reshaped the subject. In manifold theory, his work with Hill and Ravenel almost completely resolves the Kervaire invariant problem, which has been open since the 1960s. The methods used in the solution of this problem have transformed algebraic topology. Recently, his influence has spread to mathematical physics with his study of twisted K-theory, TQFTs and Chern-Simons theories in various collaborations with Daniel Freed, Jacob Lurie and Constantin Teleman. In addition to his scientific achievements, Michael Hopkins played a tremendous role in educating younger mathematicians. He has supervised more than 15 graduate students, among whom are Jacob Lurie (Harvard) and Michael Hill (UCLA). Michael Hopkins is also a phenomenal lecturer. He has received numerous awards and has been invited to give many distinguished lectures. Among others, in 2000, he gave the Marston Morse Memorial Lectures at the Institute for Advanced Study and the Namboodiri Lectures at the University of Chicago. He was a plenary speaker at the ICM in 2002. In 2012, he received the NAS Award in Mathematics from the U.S. National Academy of Sciences and in 2014, he received the Frederic Esser Nemmers Prize in Mathematics from Northwestern University. |

This Lecture Series is funded by an endowment given by Professor Ira M. DeLong, who came to the University of Colorado in 1888 at the age of 33. Professor DeLong essentially became the mathematics department by teaching not only the college subjects but also the preparatory mathematics courses. Professor DeLong was a prominent citizen of the community of Boulder as well as president of the Mercantile Bank and Trust Company, organizer of the Colorado Education Association, and president of the charter convention that gave Boulder the city manager form of government in 1917. After his death in 1942 it was decided that the bequest he made to the mathematics department would accumulate interest until income became available to fund DeLong prizes for undergraduates and DeLong Lectureships to bring outstanding mathematicians to campus each year. The first DeLong Lectures were delivered in the 1962-63 academic year.

1962-1963 Paul Halmos

1963-1964 Marshall Hall Jr.

1964-1965 Edwin Hewitt

1965-1966 George Polya

1966-1967 Alfred Tarski

1967-1968 John Milnor

1968-1969 Paul Cohen

1969-1970 Jurgen Moser

1970-1971 Mark Kac, Irving Kaplansky

1971-1972 Abraham Robinson

1972-1973 George Mackey

1973-1974 Olga Taussky Todd

1974-1975 Andrew Gleason

1975-1976 Tosio Kato

1976-1977 Hugh Montgomery

1977-1978 Elias Stein

1978-1979 Raoul Bott

1979-1980 Alan Weinstein

1980-1981 Enrico Bombieri

1981-1982 Richard S. Varga

1963-1964 Marshall Hall Jr.

1964-1965 Edwin Hewitt

1965-1966 George Polya

1966-1967 Alfred Tarski

1967-1968 John Milnor

1968-1969 Paul Cohen

1969-1970 Jurgen Moser

1970-1971 Mark Kac, Irving Kaplansky

1971-1972 Abraham Robinson

1972-1973 George Mackey

1973-1974 Olga Taussky Todd

1974-1975 Andrew Gleason

1975-1976 Tosio Kato

1976-1977 Hugh Montgomery

1977-1978 Elias Stein

1978-1979 Raoul Bott

1979-1980 Alan Weinstein

1980-1981 Enrico Bombieri

1981-1982 Richard S. Varga

1982-1983 Charles Fefferman

1983-1984 S.S. Chern

1984-1985 Robert Zimmer

1985-1986 Gerd Faltings

1986-1987 Dennis Sullivan

1987-1988 Stephen Smale

1988-1989 Branko Grunbaum

1989-1990 Ronald Graham

1990-1991 Kenneth Ribet

1991-1992 Michael Atiyah

1992-1993 John H. Conway

1993-1994 John Tate

1994-1995 Vladimir Arnold

1996-1997 Alain Connes

1997-1998 Barry Mazur

1999-2000 Nigel Higson

2000-2001 Jeff Cheeger

2001-2002 Vaughan F. R. Jones

2002-2003 Richard Taylor

2003-2004 Phillip A. Griffiths

1983-1984 S.S. Chern

1984-1985 Robert Zimmer

1985-1986 Gerd Faltings

1986-1987 Dennis Sullivan

1987-1988 Stephen Smale

1988-1989 Branko Grunbaum

1989-1990 Ronald Graham

1990-1991 Kenneth Ribet

1991-1992 Michael Atiyah

1992-1993 John H. Conway

1993-1994 John Tate

1994-1995 Vladimir Arnold

1996-1997 Alain Connes

1997-1998 Barry Mazur

1999-2000 Nigel Higson

2000-2001 Jeff Cheeger

2001-2002 Vaughan F. R. Jones

2002-2003 Richard Taylor

2003-2004 Phillip A. Griffiths

2004-2005 Paul Baum

2005-2006 Isadore M. Singer

2006-2007 Sir Roger Penrose

2007-2008 Maxim Kontsevich

2008-2009 Persi Diaconis

2009-2010 Ieke Moerdijk

2010-2011 Endre Szemerédi

2011-2012 Vitaly Bergelson

2012-2013 Yuval Peres

2013-2014 Benedict H. Gross

2014-2015 Robert Bryant

2015-2016 Magdalena Musat

2017-2018 Michael J. Hopkins

2005-2006 Isadore M. Singer

2006-2007 Sir Roger Penrose

2007-2008 Maxim Kontsevich

2008-2009 Persi Diaconis

2009-2010 Ieke Moerdijk

2010-2011 Endre Szemerédi

2011-2012 Vitaly Bergelson

2012-2013 Yuval Peres

2013-2014 Benedict H. Gross

2014-2015 Robert Bryant

2015-2016 Magdalena Musat

2017-2018 Michael J. Hopkins

If you have any questions concerning this lecture series, please contact
Mathematics.