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gilkalai.wordpress.com | ||
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www.quantamagazine.org
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| | | | | Landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical delight and discovery. | |
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www.galoisrepresentations.com
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| | | | | [AI summary] The blog post discusses a mathematical problem related to the surjectivity of certain maps in the context of Galois representations and modular forms. It references a conjecture about the structure of the mod-p deformation ring and its connection to the Hecke algebra. The author explores the implications of this conjecture on the properties of the deformation ring and its relation to the cohomology of arithmetic groups. The post also touches on the use of completed cohomology and the patched module in understanding these structures. The author acknowledges the complexity of the problem and the need for further research and collaboration to resolve it. | |
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rjlipton.com
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| | | | | Isomorphism at the SODA 2014 conference Ronald Read and Derek Corneil are Canadian mathematicians and computer scientists. Read earned a PhD in Mathematics from the University of London in 1959, while Corneil was one of the inaugural PhD's in the University of Toronto's Department of Computer Science. Read is also an accomplished musician and composer---indeed... | |
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mkatkov.wordpress.com
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| | | For probability space $latex (\Omega, \mathcal{F}, \mathbb{P})$ with $latex A \in \mathcal{F}$ the indicator random variable $latex {\bf 1}_A : \Omega \rightarrow \mathbb{R} = \left\{ \begin{array}{cc} 1, & \omega \in A \\ 0, & \omega \notin A \end{array} \right.$ Than expected value of the indicator variable is the probability of the event $latex \omega \in... | ||
