Dr. Smale was born July 15, 1930 in Flint, Michigan. He earned his Bachelor degree in 1952, Masters in 1953, and PhD in 1957, all in mathematics, at the University of Michigan, Ann Arbor. Dr. Smale was awarded the Fields Medal (1966) for his work in differential topology where he proved the generalized Poincaré conjecture in dimension greater than or equal to five.

Dr. Smale spent 1958-60 at the Institute for Advanced Study at Princeton and at the Instituto de Mathematica Pura e Aplicada in Rio de Janeiro. In 1960, Smale was appointed associate professor at the University of California, Berkeley. In 1961 he accepted an appointment at Columbia University in New York but returned to Berkeley in 1964. Since his retirement from Berkeley in 1995, Dr. Smale has been a professor at the City University of Hong Kong.

Other awards Dr. Smale has received over the years include the Veblen Prize for Geometry by the American Mathematical Society (1966), the U.S. National Medal of Science (1996), the Chauvenet Prize of the Mathematical Association of America (1988), the Von Neuman Award (1989), the Jürgen Moser Prize (2005) from the Society for Industrial and Applied Mathematics. In 2007, Dr. Smale was awarded the Wolf Prize in mathematics. Dr. Smale holds seven honorary doctorates and is honorary member of the Instituto Nacional de Matemática Pura e Aplicada (since 1990), the Trinity Mathematical Society in Dublin (since 1991), the Moscow Mathematical Society (since 1997), and the London Mathematical Society (since 1998).

Dr. Smale is not only known for his mathematical achievements, but also for the world-class collection of minerals that he and his wife have built up over decades.

Organizing Committee: Indika Rajapakse (University of Michigan), Michael Xuan (UniData Technology), Michael Shub (The City College of New York), Thomas Ried (National Cancer Institute)

Student Organizers: Stephen Lindsly, Can Chen, Gabrielle Dotson

Advisory Committee: Brian Athey, Anthony Bloch, Dan Burns, H. V. Jagadish, Sri Kumar

Administrator: Alison Martin

Sponsors: MIDAS, National Cancer Institute, Michigan Medicine

More information: https://sites.google.com/umich.edu/smale90thcelebration

Dr. Smale was born July 15, 1930 in Flint, Michigan. He earned his Bachelor degree in 1952, Masters in 1953, and PhD in 1957, all in mathematics, at the University of Michigan, Ann Arbor. Dr. Smale was awarded the Fields Medal (1966) for his work in differential topology where he proved the generalized Poincaré conjecture in dimension greater than or equal to five.

Dr. Smale spent 1958-60 at the Institute for Advanced Study at Princeton and at the Instituto de Mathematica Pura e Aplicada in Rio de Janeiro. In 1960, Smale was appointed associate professor at the University of California, Berkeley. In 1961 he accepted an appointment at Columbia University in New York but returned to Berkeley in 1964. Since his retirement from Berkeley in 1995, Dr. Smale has been a professor at the City University of Hong Kong.

Other awards Dr. Smale has received over the years include the Veblen Prize for Geometry by the American Mathematical Society (1966), the U.S. National Medal of Science (1996), the Chauvenet Prize of the Mathematical Association of America (1988), the Von Neuman Award (1989), the Jürgen Moser Prize (2005) from the Society for Industrial and Applied Mathematics. In 2007, Dr. Smale was awarded the Wolf Prize in mathematics. Dr. Smale holds seven honorary doctorates and is honorary member of the Instituto Nacional de Matemática Pura e Aplicada (since 1990), the Trinity Mathematical Society in Dublin (since 1991), the Moscow Mathematical Society (since 1997), and the London Mathematical Society (since 1998).

Dr. Smale is not only known for his mathematical achievements, but also for the world-class collection of minerals that he and his wife have built up over decades.

Organizing Committee: Indika Rajapakse (University of Michigan), Michael Xuan (UniData Technology), Michael Shub (The City College of New York), Thomas Ried (National Cancer Institute)

Student Organizers: Stephen Lindsly, Can Chen, Gabrielle Dotson

Advisory Committee: Brian Athey, Anthony Bloch, Dan Burns, H. V. Jagadish, Sri Kumar

Administrator: Alison Martin

Sponsors: MIDAS, National Cancer Institute, Michigan Medicine

More information: https://sites.google.com/umich.edu/smale90thcelebration

Dr. Smale was born July 15, 1930 in Flint, Michigan. He earned his Bachelor degree in 1952, Masters in 1953, and PhD in 1957, all in mathematics, at the University of Michigan, Ann Arbor. Dr. Smale was awarded the Fields Medal (1966) for his work in differential topology where he proved the generalized Poincaré conjecture in dimension greater than or equal to five.

Dr. Smale spent 1958-60 at the Institute for Advanced Study at Princeton and at the Instituto de Mathematica Pura e Aplicada in Rio de Janeiro. In 1960, Smale was appointed associate professor at the University of California, Berkeley. In 1961 he accepted an appointment at Columbia University in New York but returned to Berkeley in 1964. Since his retirement from Berkeley in 1995, Dr. Smale has been a professor at the City University of Hong Kong.

Other awards Dr. Smale has received over the years include the Veblen Prize for Geometry by the American Mathematical Society (1966), the U.S. National Medal of Science (1996), the Chauvenet Prize of the Mathematical Association of America (1988), the Von Neuman Award (1989), the Jürgen Moser Prize (2005) from the Society for Industrial and Applied Mathematics. In 2007, Dr. Smale was awarded the Wolf Prize in mathematics. Dr. Smale holds seven honorary doctorates and is honorary member of the Instituto Nacional de Matemática Pura e Aplicada (since 1990), the Trinity Mathematical Society in Dublin (since 1991), the Moscow Mathematical Society (since 1997), and the London Mathematical Society (since 1998).

Dr. Smale is not only known for his mathematical achievements, but also for the world-class collection of minerals that he and his wife have built up over decades.

Organizing Committee: Indika Rajapakse (University of Michigan), Michael Xuan (UniData Technology), Michael Shub (The City College of New York), Thomas Ried (National Cancer Institute)

Student Organizers: Stephen Lindsly, Can Chen, Gabrielle Dotson

Advisory Committee: Brian Athey, Anthony Bloch, Dan Burns, H. V. Jagadish, Sri Kumar

Administrator: Alison Martin

Sponsors: MIDAS, National Cancer Institute, Michigan Medicine

More information: https://sites.google.com/umich.edu/smale90thcelebration

Speaker(s): Dmitry Chelkak (École Normale Supérieure)

]]>Speaker(s): Christof Sparber (University of Illinois, Chicago)

]]>Speaker(s): John Lesieutre (Penn State University)

]]>Speaker(s): Ruixiang Zhang (University of Wisconsin)

]]>Hodge theory, as developed by Deligne and Griffiths, is the main tool for analyzing the geometry and arithmetic of complex algebraic varieties. It is an essential fact that at heart, Hodge theory is NOT algebraic. On the other hand, according to both the Hodge conjecture and the Grothendieck period conjecture, this transcendence is severely constrained.

Tame geometry, whose idea was introduced by Grothendieck in the 80s, seems a natural setting for understanding these constraints. Tame geometry, developed by model theorists as o-minimal geometry, has for prototype real semi-algebraic geometry, but is much richer. It studies structures where every definable set has a finite geometric complexity.

The aim of these lectures is to present a number of recent applications of tame geometry to several problems related to Hodge theory and periods. Speaker(s): Bruno Klingler (Humboldt University)

Hodge theory, as developed by Deligne and Griffiths, is the main tool for analyzing the geometry and arithmetic of complex algebraic varieties. It is an essential fact that at heart, Hodge theory is NOT algebraic. On the other hand, according to both the Hodge conjecture and the Grothendieck period conjecture, this transcendence is severely constrained.

Tame geometry, whose idea was introduced by Grothendieck in the 80s, seems a natural setting for understanding these constraints. Tame geometry, developed by model theorists as o-minimal geometry, has for prototype real semi-algebraic geometry, but is much richer. It studies structures where every definable set has a finite geometric complexity.

The aim of these lectures is to present a number of recent applications of tame geometry to several problems related to Hodge theory and periods. Speaker(s): Bruno Klingler (Humboldt University)

I will discuss how tame geometry can be used to prove algebraization results, either starting from diophantine informations (Pila-Wilkie theorem) or in a complex analytic setting (Chow and GAGA theorems in definable complex analytic geometry: results of Peterzil-Starchenko and Bakker-Brunebarbe-Tsimerman). Speaker(s): Bruno Klingler (Humboldt University)

]]>I will sketch the proof that period maps associated to variations of pure Hodge structures on complex quasi-projective varieties are tame (a recent result of Bakker, Tsimerman and myself). As a corolloray (using also the results from lecture 2) one obtains a simpler proof of a famous result of Cattani-Deligne-Kaplan: the algebraicity of Hodge loci; as well as the algebraicity of images of period maps. Speaker(s): Bruno Klingler (Humboldt University)

]]>Many problems concerning periods are related to numerical and functional transcendence questions. I will explain Ax-Schanuel type results from abelian varieties to variations of Hodge structures, proven using tame geometry; and their applications to atypical intersections problems (André-Oort conjecture, Zilber-Pink conjecture). Speaker(s): Bruno Klingler (Humboldt University)

]]>Speaker(s): Huyen Pham (Universite Paris Diderot)

]]>Speaker(s): Huyen Pham (Universite Paris Diderot)

]]>Speaker(s): Huyen Pham (Universite Paris Diderot)

]]>Stability of coherent structures in two dimensional Euler equations, such as shear flows and vortices, is an important problem and a classical topic in fluid dynamics. Full nonlinear asymptotic stability results are difficult to obtain since the rate of stabilization is slow, the convergence of vorticity occurs only in weak, distributional sense, and the nonlinearity is strong. In a breakthrough work, Bedrossian and Masmoudi proved the first nonlinear asymptotic stability result, near the Couette flow (linear shear). In this talk, we will explain the physical relevance of the problem, survey recent progresses and in particular discuss our results proving the nonlinear asymptotic stability of general monotonic shear flows. If time permits, further open problems in the area will also be mentioned. This is joint work with Alexandru Ionescu. Speaker(s): Hao Jia (Univ. of Minnesota)

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