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Graduate Mathematics
United States
Приєднався 9 гру 2014
Yitang Zhang and The Landau-Siegel Zero Problem in Number Theory [2019] (in Chinese)
Abstract: As a special and (probably) much weaker form of the Generalized Riemann Hypothesis, the Landau-Siegel zero problem has its own interest and amazing applications in number theory. In this talk we will introduce its history and applications. In particular, it will be explained why such a problem is important and difficult to solve. Some new attempts will be described.
In this talk, we will avoid technical details as possible so that it can be open to people who are not in the number theory major.
Future Science Prize Symposium
2019.11.16
www.futureforum.org.cn/en/nav/detail/563.html
In this talk, we will avoid technical details as possible so that it can be open to people who are not in the number theory major.
Future Science Prize Symposium
2019.11.16
www.futureforum.org.cn/en/nav/detail/563.html
Переглядів: 20 034
Відео
![Peter Sarnak, Summation formulae in spectral theory and number theory [2021]](http://i.ytimg.com/vi/4l56nTwt-F4/mqdefault.jpg)
![Peter Sarnak, Summation formulae in spectral theory and number theory [2021]](/img/tr.png)
Peter Sarnak, Summation formulae in spectral theory and number theory [2021]
Переглядів 4,5 тис.3 роки тому
A talk in honor of Zeev Rudnick's 60th birthday Peter Sarnak, Summation formulae in spectral theory and number theory (Institute for Advanced Study and Princeton University) Abstract: The Poisson Summation formula, Riemann-Guinand-Weil explicit formula, Selberg Trace Formula and Lefschetz Trace formula in the function field, are starting points for a number of Zeev Rudnick's works. We will revi...
![Alex Kontorovich - Numbers and Fractals [2017]](http://i.ytimg.com/vi/C14euPFMITE/mqdefault.jpg)
Alex Kontorovich - Numbers and Fractals [2017]
Переглядів 3 тис.4 роки тому
It is a very good time to be a mathematician. This millennium, while only a teenager, has already seen spectacular breakthroughs on problems like the Poincar´e Conjecture (solved by Grisha Perelman, who declined both a Fields Medal and a million dollar Clay Prize) and the near-resolution of the Twin Primes Conjecture (by Yitang Zhang). Much of the time, a breakthrough occurs as the result of an...
![Tangles, Bangles and Knots with John Conway [2012]](http://i.ytimg.com/vi/Bsl1eLShS5k/mqdefault.jpg)
Tangles, Bangles and Knots with John Conway [2012]
Переглядів 6 тис.4 роки тому
John Conway is a prolific mathematician who researches the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory. He has also contributed to many branches of recreational mathematics, notably the invention of the cellular automaton called the Game of Life. 2/24/2012; 74 minutes www.uctv.tv/shows/Tangles-Bangles-and-Knots-with-John-Conway-23319
![Fractran: A Ridiculous Logical Language with John Conway [2012]](http://i.ytimg.com/vi/548BH-YFT1E/mqdefault.jpg)
Fractran: A Ridiculous Logical Language with John Conway [2012]
Переглядів 9 тис.4 роки тому
John Conway is a prolific mathematician who researches the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory. He has also contributed to many branches of recreational mathematics, notably the invention of the cellular automaton called the Game of Life. 3/30/2012; 74 minutes www.uctv.tv/shows/search-details.aspx?showID=23320
Peter Scholze (Universität Bonn) - Condensed Mathematics (2019)
Переглядів 27 тис.4 роки тому
Notes for this talk: docs.google.com/viewer?url=www.msri.org/workshops/873/schedules/26349/documents/50220/assets/85849 March 28, 2019 (03:30 PM PDT - 04:30 PM PDT) Speaker(s): Peter Scholze (Universität Bonn) Location: MSRI: Simons Auditorium Derived Algebraic Geometry And Its Applications March 25, 2019 - March 29, 2019 www.msri.org/workshops/873/schedules/26349#14-Scholze
Thin groups as monodromy groups, Part II - Jordan Ellenberg (University of Wisconsin-Madison)
Переглядів 8874 роки тому
Thin groups as monodromy groups Jordan Ellenberg University of Wisconsin - Madison We discuss various algebro-geometric contexts in which thin groups appear as monodromy groups attached to families of varieties over curves. www.msri.org/workshops/652/schedules/14596
Thin groups as monodromy groups, Part I - Jordan Ellenberg (University of Wisconsin-Madison)
Переглядів 2,3 тис.4 роки тому
Thin groups as monodromy groups Jordan Ellenberg University of Wisconsin - Madison We discuss various algebro-geometric contexts in which thin groups appear as monodromy groups attached to families of varieties over curves. www.msri.org/workshops/652/schedules/14578
Apollonian circle packings via spectral methods - Hee Oh (Yale University)
Переглядів 3,4 тис.4 роки тому
notes for this talk: docs.google.com/viewer?url=www.msri.org/workshops/652/schedules/14556/documents/1680/assets/17222 Effective circle count for Apollonian circle packings, via spectral methods Hee Oh Brown University We will describe a recent effective counting result for Apollonian circle packings. The main ingredient of this result is an effective equidistribution of closed horospheres in a...
Finding L-Functions out of Nothing - David Farmer [2011]
Переглядів 2,6 тис.5 років тому
Finding L-Functions out of Nothing Introductory Workshop: Arithmetic Statistics January 31, 2011 - February 04, 2011 February 02, 2011 (11:00 AM PST - 12:00 PM PST) Speaker(s): David Farmer (AIM - American Institute of Mathematics) Location: MSRI: Simons Auditorium www.msri.org/workshops/566/schedules/12062
Scott Aaronson - Complexity and computability with closed timelike curves [2018]
Переглядів 2,4 тис.5 років тому
Scott Aaronson (02/23/18) media.ma.utexas.edu/media/Math_Club/Scott_Aaronson/
Sasaki geometry and positive curvature - Song Sun [2012]
Переглядів 1,5 тис.5 років тому
Abstract: We classify simply connected compact Sasaki manifolds with positive transverse bisectional curvature. In particular, the moduli space of all such manifolds can be contracted to a point-the standard round sphere. This provides an alternative proof of the Mori-Siu-Yau theorem on Frankel conjecture as well as extends it to the orbifold case. The proof involves deforming any such manifold...
The Hilbert--Einstein functional and the Sasaki-Futaki invariant - Eveline Legendre [2016]
Переглядів 1,7 тис.5 років тому
Abstract: I will show how the Hilbert Einstein functional detects the Reeb vector fields having a vanishing transversal Futaki invariant and so that it is an obstruction to the existence of constant scalar curvature Sasaki metrics. I will also discuss the relation of this functional with the sasakian K-stability defined by Collins Szekelyhidi. The Hilbert Einstein functional and the Sasaki-Futa...
Compactness of conformally compact Einstein manifolds in dimension 4 - Sun-Yung Chang [2016]
Переглядів 7875 років тому
Abstract: Given a class of conformally compact Einstein manifolds with boundary, we are interested to study the boundary behavior of their compactified metrics. I will report some joint work with Yuxin Ge on a compactness result in a 3 1 setting, which is a study of some 4th order elliptic system with some matching 3rd order boundary conditions and the correponding choice of conformal represent...
Alex Kontorovich - On the Strong Density Conjecture for Apollonian Circle Packings [2012]
Переглядів 1 тис.5 років тому
slides for this talk: docs.google.com/viewer?url=www.msri.org/workshops/652/schedules/14560/documents/1681/assets/17223 Abstract: The Strong Density Conjecture states that for a given primitive integral Apollonian circle packing, every sufficiently large admissible (passing local obstructions) integer is the curvature of some circle in the packing. In joint work with Jean Bourgain, we prove tha...
Henri Cohen - Introduction to asymptotics of number fields... [2011]
Переглядів 1,3 тис.5 років тому
Henri Cohen - Introduction to asymptotics of number fields... [2011]
A simple model of quantum holography (part 2) - Alexei Kitaev, Caltech & KITP [2015]
Переглядів 2,7 тис.5 років тому
A simple model of quantum holography (part 2) - Alexei Kitaev, Caltech & KITP [2015]
A simple model of quantum holography (part 1) - Alexei Kitaev, Caltech & KITP [2015]
Переглядів 7 тис.5 років тому
A simple model of quantum holography (part 1) - Alexei Kitaev, Caltech & KITP [2015]
K3 surfaces and elliptic fibrations in number theory - Noam D. Elkies, Harvard University [2018]
Переглядів 8 тис.5 років тому
K3 surfaces and elliptic fibrations in number theory - Noam D. Elkies, Harvard University [2018]
Jacob Lurie: 5/5 Tamagawa numbers in the function field case [2019]
Переглядів 1,7 тис.5 років тому
Jacob Lurie: 5/5 Tamagawa numbers in the function field case [2019]
Jacob Lurie: 4/5 Tamagawa numbers in the function field case [2019]
Переглядів 1,1 тис.5 років тому
Jacob Lurie: 4/5 Tamagawa numbers in the function field case [2019]
Jacob Lurie: 3/5 Tamagawa numbers in the function field case [2019]
Переглядів 1,2 тис.5 років тому
Jacob Lurie: 3/5 Tamagawa numbers in the function field case [2019]
Jacob Lurie: 2/5 Tamagawa numbers in the function field case [2019]
Переглядів 1,2 тис.5 років тому
Jacob Lurie: 2/5 Tamagawa numbers in the function field case [2019]
Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]
Переглядів 5 тис.5 років тому
Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]
Selmer groups and ranks II - Karl Rubin [2011]
Переглядів 8365 років тому
Selmer groups and ranks II - Karl Rubin [2011]
Orthogonal Ensembles and Central Values of L functions - Brian Conrey [2011]
Переглядів 3955 років тому
Orthogonal Ensembles and Central Values of L functions - Brian Conrey [2011]
Akshay Venkatesh - (Derived) moduli of local systems in number theory [2019]
Переглядів 2,3 тис.5 років тому
Akshay Venkatesh - (Derived) moduli of local systems in number theory [2019]
János Kollár (Princeton): Celestial surfaces and quadratic forms [2018]
Переглядів 9075 років тому
János Kollár (Princeton): Celestial surfaces and quadratic forms [2018]
The Role of Mathematics in Philosophy | 2012
Переглядів 1,6 тис.5 років тому
The Role of Mathematics in Philosophy | 2012
Bjorn Poonen - Cohomological Obstructions to Rational Points [2008]
Переглядів 1,5 тис.5 років тому
Bjorn Poonen - Cohomological Obstructions to Rational Points [2008]