three lectures on quiver grassmanniansgiovanni.cerulliirelli/...icra 2018-workshop prague- 7-13...
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ICRA 2018-Workshop Prague- 7-13 August 2018
Three Lectures on quiver Grassmannians
Giovanni Cerulli Irelli
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ICRA 2018-Workshop Prague- 7-13 August 2018
Cellular decomposition and property (S)
Giovanni Cerulli Irelli
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Alfa-partitions
11/08/18 Giovanni Cerulli Irelli
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Cellular decomposition
11/08/18 Giovanni Cerulli Irelli
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Property (S)
11/08/18 Giovanni Cerulli Irelli
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Property (S) does not imply cell dec
11/08/18 Giovanni Cerulli Irelli
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Basic properties of cell dec and property (S)
11/08/18 Giovanni Cerulli Irelli
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Springer fibers
11/08/18 Giovanni Cerulli Irelli
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Properties (S) and (C) for quiver representations
11/08/18 Giovanni Cerulli Irelli
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Main results
11/08/18 Giovanni Cerulli Irelli
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Remarks on Theorem 3
11/08/18 Giovanni Cerulli Irelli
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Remarks on Theorem 3
11/08/18 Giovanni Cerulli Irelli
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Decomposition induced by Short exact Sequences
11/08/18 Giovanni Cerulli Irelli
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The strata induced by a s.e.s.
11/08/18 Giovanni Cerulli Irelli
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Image of the strata
11/08/18 Giovanni Cerulli Irelli
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Proof of the Lemma
11/08/18 Giovanni Cerulli Irelli
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A “nice” stratum in the image
11/08/18 Giovanni Cerulli Irelli
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Generating S.E.S.
11/08/18 Giovanni Cerulli Irelli
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Reduction Theorem
11/08/18 Giovanni Cerulli Irelli
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Ringel reflections
11/08/18 Giovanni Cerulli Irelli
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Ringel reflections
11/08/18 Giovanni Cerulli Irelli
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Generalized almost split sequences
11/08/18 Giovanni Cerulli Irelli
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Properties of Ringel reflections
11/08/18 Giovanni Cerulli Irelli
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Main property of Ringel reflections
11/08/18 Giovanni Cerulli Irelli
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F-polynomials and g-vectors
11/08/18 Giovanni Cerulli Irelli
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Cluster multiplication formula
11/08/18 Giovanni Cerulli Irelli
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Examples of generating extensions
11/08/18 Giovanni Cerulli Irelli
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Examples: regular generating extensions
11/08/18 Giovanni Cerulli Irelli
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Proof of Theorem 1
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Proof of the theorem
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Cell dec for regular quasi-simples
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Cell dec for regular indecomposables
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Cell dec for regular affine quiver Grassmannians
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Cell dec for regular affine quiver Grassmannians
11/08/18 Giovanni Cerulli Irelli
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Thm 2: cell dec for affine quiver Grassmannians
11/08/18 Giovanni Cerulli Irelli
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Type Ã
11/08/18 Giovanni Cerulli Irelli
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Type Ã
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Type Ã
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Type Ã
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Type D-tilde
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Type D-tilde
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Type D-tilde
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Type D-tilde
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Type D-tilde: Key Lemma
11/08/18 Giovanni Cerulli Irelli
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Type D-tilde (proof of the Key Lemma)
11/08/18 Giovanni Cerulli Irelli
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Type D-tilde (proof of the Key Lemma)
11/08/18 Giovanni Cerulli Irelli
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Type D-tilde (proof of the Key Lemma)
11/08/18 Giovanni Cerulli Irelli
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Type D-tilde (proof of the Key Lemma)
11/08/18 Giovanni Cerulli Irelli
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Type D-tilde (proof of the Key Lemma)
11/08/18 Giovanni Cerulli Irelli
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Type E-tilde
11/08/18 Giovanni Cerulli Irelli
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Open Problems
11/08/18 Giovanni Cerulli Irelli