Post-doctoral researcher, CNRS
Université Paris Diderot-Paris VII, IMJ-PRG
e-mail: hironori.oya at imj-prg.fr
Research interests
Kac-Moody Lie algebras, Quantum groups
(= quantized enveloping algebras, quantized coordinate algebras) and Quantum cluster algebras
Papers and Preprints
Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm,
joint work with David Hernandez,
arXiv:1803.06754v1
[pdf]
(updated on 18 March 2018)
The Chamber Ansatz for quantum unipotent cells,
arXiv:1702.00383v1
[pdf]
(updated on 1 February 2017)
Twist automorphisms on Quantum unipotent cells and Dual canonical bases,
joint work with Yoshiyuki Kimura,
arXiv:1701.02268v2
[pdf]
(updated on 10 January 2017)
A comparison of Newton-Okounkov polytopes of Schubert varieties,
joint work with Naoki Fujita, J. Lond. Math. Soc. (2) 96, no. 1, 201--227 (2017)
(website),
arXiv:1610.08783v2
[pdf]
(updated on 24 July 2017)
Quantum twist maps and dual canonical bases,
joint work with Yoshiyuki Kimura, to appear in Algebr. Represent. Theory
(website),
arXiv:1604.07748v2
[pdf]
(updated on 20 August 2017)
Representations of quantized coordinate algebras via PBW-type elements,
Osaka J. Math 55, no. 1, 71--115 (2018)
(website),
[pdf]
【This is a significantly revised version of the preprint
``Representations of quantized function algebras and the transition matrices from Canonical bases to PBW bases''arXiv:1501.01416v3
[pdf]
(updated on 6 July 2015).】
Talks
Quantum Grothendieck ring isomorphisms for quantum affine algebras of type A and B,
Oberseminar Algebra,
Universität zu Köln, June 26, 2018. promised.
Quantum Grothendieck ring isomorphisms for quantum affine algebras of type A and B,
Séminaire de Théorie des Groupes,
Lamfa - Université de Picardie Jules Verne, June 14, 2018. promised.
Twist automorphisms and Chamber Ansatz formulae for quantum unipotent cells,
Ring Theory and Representation Theory Seminar,
Nagoya University, July 2017.
(1)Total positivity and cluster algebras (survey), (2) Quantum twist automorphisms and the Chamber Ansatz,
Langlands and Harmonic Analysis,
Shizuoka, March 2017.
Twist maps on quantum unipotent cells and the Chamber Ansatz,
Oberseminar Algebra
[slides],
Universität zu Köln, October 2016.
Langlands duality for representations of quantum groups and
quantum Frobenius maps (survey),
Langlands and Harmonic Analysis, Kyushu University, March 2016.
Relations between quantum groups and quivers via Hall algebras (survey),
Graduate Student Colloquium,
Osaka City University Advanced Mathematical Institute, October 2015.
Representations of quantized function algebras and
the transition matrices from Canonical bases to PBW bases,
Tsukuba Freshman Seminar,
University of Tsukuba, July 2015.
Representations of quantized function algebras and
the transition matrices from Canonical bases to PBW bases,
Shinshu Algebra Seminar,
Shinshu University, May 2015.
The representations of quantized function algebras and
the transition matrices between Canonical bases and PBW bases,
MSJ Spring Meeting 2015
[slides],
Meiji University, March 2015.
Representations of quantized function algebras and
the transition matrices from Canonical bases to PBW bases,
Algebra Seminar,
Osaka City University Advanced Mathematical Institute, February 2015.
Representations of quantized function algebras and
the transition matrices from Canonical bases to PBW bases,
Representation Theory Seminar,
RIMS, February 2015.
Representations of quantized function algebras and
the transition matrices from Canonical bases to PBW bases,
Lie Groups and Representation Theory Seminar,
The University of Tokyo, January 2015.
A construction of irreducible representations of
the quantized function algebra C[SL_n]_v,
17th Conference on Representation Theory of
Algebraic Groups and Quantum Groups (RAQ2014)
[program pdf],
Toyama, June 2014.
A construction of irreducible representations of
the quantized function algebra C[SL_n]_v,
Algebra Seminar,
Osaka City University Advanced Mathematical Institute, January 2014.