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A beginner’s introduction to Fukaya categories
- In Contact and Symplectic Topology; Bolyai Society Mathematical Studies; Bourgeois F
, 2014
"... This text is based on a series of lectures given at a Summer School on Contact and ..."
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This text is based on a series of lectures given at a Summer School on Contact and
Categorical cell decomposition of quantized symplectic algebraic varieties
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"... Abstract. In this paper we will describe an approach to mirror symmetry for appropriate 1-dimensional DM stacks of arithmetic genus g ≤ 1, called tcnc curves, which was developed by the author with Treumann and Zaslow in [STZ]. This involves introducing a conjectural sheaf-theoretic model for the Fu ..."
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Abstract. In this paper we will describe an approach to mirror symmetry for appropriate 1-dimensional DM stacks of arithmetic genus g ≤ 1, called tcnc curves, which was developed by the author with Treumann and Zaslow in [STZ]. This involves introducing a conjectural sheaf-theoretic model for the Fukaya category of punctured Riemann surfaces. As an appli-cation, we will investigate derived equivalences of tcnc curves, and generalize classic results
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, 2006
"... doi:10.1088/1367-2630/8/11/283 Abstract. High-energy electron cooling can open new possibilities in particle physics by producing high-quality hadron beams in colliders, and is presently considered for several accelerator physics projects. However, it also presents many unique features and challenge ..."
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doi:10.1088/1367-2630/8/11/283 Abstract. High-energy electron cooling can open new possibilities in particle physics by producing high-quality hadron beams in colliders, and is presently considered for several accelerator physics projects. However, it also presents many unique features and challenges. For example, an accurate estimate of the cooling times requires a detailed calculation of the cooling process, which takes place simultaneously with various diffusive mechanisms. This task becomes even more challenging when the cooling is performed directly at a collision energy which puts special demands on the description of the beam distribution function under cooling. To address these issues, a systematic study of the cooling dynamics is underway at Brookhaven National Laboratory. In this paper, we present various aspects of this research and summarize our findings. 4 Author to whom any correspondence should be addressed.
