Vélez, José (2014) Deformations and Derived Equivalence over Symmetric Algebras. In: Altencoa6-2014, Agosto 11 al 15 de 2014, Universidad de Nariño - Colombia.
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Resumen
Let k be an algebraically closed field of arbitrary characteristic and let Ʌ be a finite dimensional k-algebra that is also symmetric, i.e. Ʌ and Ʌ*-Homk (Ʌ,k) are isomorphic as Ʌ-bimodules. In the first part of this talk, we discuss the deformation theory of complexes in the derived category D(PCMod(Ʌ)), where PCMod(Ʌ) denotes the abelian category of pseudocompact Ʌ-modules. For the second part of the talk, we assume that T is another symmetric k algebra that is derived equivalent to Ʌ, and we discuss the following statement: if ɅQT is the corresponding split-endomorphism two-sided tilting complex (as introduced by Rickard), then ɅQT preserves the versal deformation rings of complexes in D-(PCMod(Ʌ)), resp. D-(PCMod(T)). This is a joint work with Frauke M. Bleher at the University of Iowa.
| Tipo de Elemento: | Conferencia o Taller artículo (Speech) |
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| Palabras Clave: | Deformations, Derived Equivalence, Symmetric Algebras |
| Asunto: | L Educación > LB Theory and practice of education > LB2300 Higher Education |
| Division: | Facultad de Ciencias Exactas y Naturales > Programa de Licenciatura en Matemáticas > Eventos > Álgebra, Teoría de Números, Combinatoria y Aplicaciones Altencoa - 2014 |
| Depósito de Usuario: | Depto Matemáticas y Estadística |
| Fecha Deposito: | 04 Sep 2014 20:27 |
| Ultima Modificación: | 04 Sep 2014 20:27 |
| URI: | http://sired.udenar.edu.co/id/eprint/116 |
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