Dr. Gustavo Jasso - List of Publications - Mathematical Institute of the University of Bonn

Profiles

arXiv.org • Google Scholar • MathSciNet • ORCID

Collaborators

M. Barot • P. A. Bergh • L. Demonet • T. Dyckerhoff • Ch. Geiß • O. Iyama • J. Külshammer • S. Kvamme • Y. Lekili • M. Thaule • T. Walde

Preprints

Publications

Dyckerhoff, T., Jasso, G., Lekili, Y.: The symplectic geometry of higher Auslander algebras: Symmetric products of disks. Forum Math. Sigma. 9, e10 (2021). doi:10.1017/fms.2021.2
- arXiv
- Go to publication (open access)
Dyckerhoff, T., Jasso, G., Walde, T.: Generalised BGP reflection functors via the Grothendieck construction. Int. Math. Res. Not. IMRN. 2021, 15733–15745 (2019). doi:10.1093/imrn/rnz194 Notes. rnz194
Dyckerhoff, T., Jasso, G., Walde, T.: Simplicial structures in higher Auslander–Reiten theory. Adv. Math. 355, 106762 (2019). doi:10.1016/j.aim.2019.106762
Jasso, G., Külshammer, J.: Higher Nakayama algebras I: Construction. Adv. Math. 351, 1139–1200 (2019). doi:10.1016/j.aim.2019.05.026
Jasso, G., Kvamme, S.: An introduction to higher Auslander-Reiten theory. Bull. Lond. Math. Soc. 51, 1–24 (2019). doi:10.1112/blms.12204
Demonet, L., Iyama, O., Jasso, G.: τ-tilting finite algebras, bricks, and g-vectors. Int. Math. Res. Not. IMRN. 852–892 (2019). doi:10.1093/imrn/rnx135
Iyama, O., Jasso, G.: Higher Auslander Correspondence for Dualizing R-Varieties. Algebr. Represent. Theory. 20, 335–354 (2017). doi:10.1007/s10468-016-9645-0
Jasso, G.: n-abelian and n-exact categories. Math. Z. 283, 703–759 (2016). doi:10.1007/s00209-016-1619-8
Bergh, P.A., Jasso, G., Thaule, M.: Higher n-angulations from local rings. J. Lond. Math. Soc. (2). 93, 123–142 (2016). doi:10.1112/jlms/jdv064
Jasso, G.: τ^2-stable tilting complexes over weighted projective lines. Adv. Math. 273, 1–31 (2015). doi:10.1016/j.aim.2014.12.018
Jasso, G.: Reduction of τ-tilting modules and torsion pairs. Int. Math. Res. Not. IMRN. 7190–7237 (2015). doi:10.1093/imrn/rnu163
Jasso, G.: The extended affine Lie algebra associated with a connected non-negative unit form. J. Algebra. 409, 148–161 (2014). doi:10.1016/j.jalgebra.2014.03.029
Barot, M., Geiß, C., Jasso, G.: Tubular cluster algebras II: Exponential growth. J. Pure Appl. Algebra. 217, 1825–1837 (2013). doi:10.1016/j.jpaa.2012.12.012

Remarks

My Ph.D. thesis comprises articles [3-4] and [6]
My master’s thesis comprises part of article [1]
My bachelor’s thesis comprises article [2]

Proceedings, extended abstracts and other writings

Jasso, G.: The symplectic geometry of higher Auslander algebras, an overview. In: Amiot, C., Crawley-Boevey, W., Iyama, O., and Krause, H. (eds.) Representation Theory of Quivers and Finite Dimensional Algebras
Jasso, G.: Higher Auslander algebras of type A and the higher Waldhausen S-constructions. In: Šťovíček, J. and Trlifaj, J. (eds.) Representation theory and beyond. pp. 249–265. Amer. Math. Soc., Providence, RI (2020).
Jasso, G., Külshammer, J.: Nakayama-type phenomena in higher Auslander-Reiten theory. In: Leuschke, G.J., Frauke Bleher, F., Schiffler, R., and Zacharia, D. (eds.) Representations of algebras. pp. 79–98. Amer. Math. Soc., Providence, RI (2018).
- MathSciNet
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Jasso, G.: Spherical objects in higher Auslander–Reiten theory (joint work with J. Külshammer). In: Crawley-Boevey, W., Iyama, O., and Krause, H. (eds.) Representation Theory of Quivers and Finite Dimensional Algebras. pp. 591–681 (2017).
- MathSciNet
- Go to publication
Jasso, G., Külshammer, J.: The naive approach for constructing the derived category of a d-abelian category fails. arXiv:1604.03473. (2016). Notes. not intended for publication.
Jasso, G.: Reduction of τ-tilting modules and torsion classes. In: Proceedings of the 16th Workshop on Represenation Theory of Algebraic Groups and Quantum Groups. pp. 157–160 (2013).
Jasso, G.: Cluster-tilted algebras of canonical type and quivers with potential. In: Proceedings of the 45th Symposium on Ring Theory and Representation Theory. pp. 61–68 (2012).
Jasso, G.: Cluster-tilted algebras of canonical type and graded quivers with potential. In: Proceedings of the 15th Workshop on Represenation Theory of Algebraic Groups and Quantum Groups. pp. 13–18 (2012).

Talks

Below are the notes/slides from some of my talks.

Generalised BGP reflection functors. Workshop: Representation Theory of Alegbras and Sheaves, Bielefeld, Germany (2021).
- Slides
Homological algebra in exact (infinity-)categories. 2021 London Mathematical Society Northern Regional Meeting and Conference (A conference in celebration of the work of Bill Crawley-Boevey), Bielefeld, Germany (online event) (2021).
- Slides
The Waldhausen S-dot construction and the symplectic geometry of surfaces and their symmetric products. Opening Workshop (IRP Higher Homotopical Structures), CRM Barcelona, Spain (online event) (2021).
- Slides
Universal properties of derived categories, after Lurie. BIREP Seminar, Bielefeld, Germany (online talk) (2021).
- Slides
Deriving a theorem of Ladkani. Flash Talks in Representation Theory at NTNU, Trondheim, Norway (online event) (2021).
- Slides
Partially wrapped Fukaya categories of symmetric products of marked disks. Winter School: Connections between representation theory and geometry, Bonn, Germany (online event) (2020).
- Slides
Stable ∞-categories: localisations and recollements. ‘Two Weeks of Silting’ Summer School, Stuttgart, Germany (2019).
- Notes
- Exercises
Higher-dimensional Auslander algebras of type A and the higher-dimensional Waldhausen S-constructions. XVIII International Conference on Representations of Algebras (ICRA), Prague, Czech Republic (2018).
- Slides
τ-tilting reduction. XV International Conference on Representations of Algebras (ICRA), Bielefeld, Germany (2012).
- Slides
The extended affine Lie algebra associated with a connected non-negative unit form. XIV International Conference on Representations of Algebras (ICRA), Tokyo, Japan (2010).
- Slides