Daniel Pomerleano
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Registered User
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I know a few things about homological algebra, algebraic topology and 2D TQFTs.
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Feb 23 |
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How should a professor feel peace of mind when a student leaves academia? Why not talk to your students about this point before taking them on to get a sense for how they feel ? Also I think a lot of students and (maybe professors) don't have a grasp on what the job market is like, so I think it might be a good idea to make sure they are educated on this point before you take them on ? |
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Feb 18 |
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what prevents a manifold to be symplectic? Maybe this book will help you make precise your question: mathematik.uni-muenchen.de/~kai/research/… |
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Feb 11 |
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What is an $(\infty,1)$-topos, and why is this a good setting for doing differential geometry? My "point" is similar to Daniel Litt. When I think about DG, I think about deep differential geometry theorems which involve heavy work in partial differential equations (such as prescribing curvature or Ricci Flow) or relations between curvature and topology such as the sphere theorem. My point is that many people associate DG with some core theorems as well as analytic and geometric techniques. I imagine that for differential geometers, the statement that anything beyond the category of smooth manifolds are an appropriate setting for differential geometry would require a lot of discussion. |
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Feb 10 |
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What is an $(\infty,1)$-topos, and why is this a good setting for doing differential geometry? It seems slightly biased to speak about any non-trivial differential geometry without differential equations, curvatures and calculus. |
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Jan 17 |
answered | What are the general techniques for proving a variety is not toric? |
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Jan 17 |
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What information is required for SYZ mirror symmetry? deleted 11 characters in body; deleted 15 characters in body |
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Jan 17 |
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What information is required for SYZ mirror symmetry? added 142 characters in body |
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Jan 17 |
answered | What information is required for SYZ mirror symmetry? |
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Jan 16 |
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Simple proof of an isomorphism theorem Sure just write down the Serre spectral sequence and it's clear. There is the more classical Leray-Hirsch theorem as well that can work for this situation. |
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Jan 9 |
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Translations of Serre’s early spectral sequences papers If you can understand math fast enough that it makes a real difference in terms of time whether you read in French or English you must be really smart. |
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Jan 6 |
awarded | ● Organizer |
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Jan 6 |
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Smooth projective toric varieties which are quotients of product of spheres and torii by a free torus action? edited tags |
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Jan 6 |
answered | Questions on how SYZ conjectures is deduced from HMS conjeture. |
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Dec 26 |
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Applications of Floer homology BTW, the Arnold Chord conjecture is different from the Arnold conjecture that is mentioned in the question. |
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Dec 26 |
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Applications of Floer homology There are many applications due to Vitterbo and others to the Weinstein conjecture in all dimensions, however the results in dimension 3 are really impressive. Taubes proved it completely in dimension 3 (I don't think the proof actually uses Floer homology, though the paper seems to be a first step in the equivalence between Embedded contact homology and Seiberg-Witten Floer homology). There are quantitative improvements due to Hutchings and Cristofaro-Gardiner that use ECH explicitly. The Arnold Chord Conjecture in dimension 3 by Taubes and Hutchings... |
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Dec 5 |
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A certain theorem about finite-dimensional Lie algebras over an algebraically closed field with zero characteristic. Can't one prove this for an arbitrary field of char 0 by extension of scalars? Certainly relaxing condition three will be hopeless. |
