Università degli Studi di Padova

Dipartimento di Matematica

Home Page of Giovanna Carnovale

Giovanna Carnovale
Position: Ricercatore Universitario Confermato di Algebra

Address:
Dipartimento di Matematica Pura ed Applicata
Università degli Studi di Padova
Via Trieste 63
35121 Padova
ITALIA
phone: +39-049-8271354
office: 604
e-mail: carnoval"at"math.unipd.it

[Teaching (mostly in italian) | Research and Publications| Events ]

Didattica

Ricevimento studenti: Per il Corso di Laurea in Informatica: su appuntamento da richiedere per email.

Corsi per l'A.A. 2011-2012:
Algebra e Geometria per il Corso di Laurea in Informatica
Matematica e Statistica per il Corso di Laurea in Biotecnologie

Corsi degli A.A. passati:
Algebra Lineare e Geometria per il Corso di Laurea in Informatica, titolare Prof. Menegazzo, 2009-2010

Teoria dei Gruppi 2, per gli studenti della Scuola Galileiana, 2009-2010.

Algebra 1 (per il Corso di Laurea Triennale in Matematica, titolare: Prof.ssa Bazzoni)

Algebraic Geometry 2 (Geometria algebrica 2), in English, per il Corso di Laurea Magistrale in Matematica ed ALGANT, IInd block, from january 13th, 2009, titolare Francesco Esposito.

Representation Theory of Groups (Teoria della Rappresentazione dei Gruppi), in English, per il Corso di Laurea Magistrale in Matematica ed ALGANT, IIIrd block, from april 6th, 2009.

Algebra 2 (per Matematica, titolare: Prof. Napolitani, 2006-2007)

Algebra Lineare e Geometria II (per Informatica, 2005-2006) (III trimestre)

Erasmus

For an interesting Math lesson click here

Research and Publications

Research Interests

Hopf algebras and quantum groups,
Brauer groups of braided monoidal categories
Representation theory of Lie algebras, quantum groups, algebraic groups
Conjugacy classes and twisted conjugacy classes in algebraic groups and finite groups of Lie type
Spherical varieties
Surfaces isogenous to a product of curves

Research publications

19. G. Carnovale; On spherical twisted conjugacy classes, preprint,arXiv:1104.0216, 2011

18. G. Carnovale; F. Esposito, On sheets of conjugacy classes in good characteristic, preprint arXiv:1011.5791, International Mathematics Research Notices 2011; doi: 10.1093/imrn/rnr047

17. G. Carnovale; J. Cuadra, On the subgroup structure of the full Brauer group of Sweedler Hopf algebra, Israel Journal of Mathematics 183 (2011) 61--92.

16. G. Carnovale, A classification of spherical conjugacy classes in positive characteristic, arXiv:0811.2641v1, Pacific Journal of Mathematics 245 no.1 (2010), 25-45.

15. G. Carnovale, Spherical conjugacy classes and Bruhat decomposition, preprint arXiv:0808.1818v2, Ann. Inst. Fourier (Grenoble) 59 no. 6 (2009), 2329-2357.

14. G. Carnovale; F. Polizzi, The classification of surfaces of general type with p_g=q=1 isogenous to a product of curves , Adv. Geom. 9 (2009) , no. 2, 233-256.

13. G. Carnovale, Spherical conjugacy classes and involutions in the Weyl group , Math. Z. 260 (2008), no. 1, 1-23.
An addendum rectifying the use of an inexact reference and terminology

12. G. Carnovale, The Brauer group of modified supergroup algebras, J. Algebra 305 (2006), 993-1036.

11. G. Carnovale, When is a cleft extension H-Azumaya? Algebr. Represent. Theory 9 (2006), no. 1, 99-120.

10. J. Bichon; G. Carnovale, Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras. J. Pure Appl. Algebra 204 (2006) no. 3, 627-665.

9. N. Cantarini; G. Carnovale; M. Costantini, Spherical orbits and representations of U_e(g). Transform. Groups 10 (2005), no. 1, 29-62.

8. G. Carnovale; J. Cuadra, Cocycle twisting of E(n)-module algebras and applications to the Brauer group. K-Theory 33 (2004), no. 3, 251-276.

7. G. Carnovale; J.Cuadra, The Brauer group BM(k, D_n,R_z) of the dihedral group. Glasgow Math. J. 46 (2004), 239-257.

6. G. Carnovale; J. Cuadra, The Brauer group of some quasitriangular Hopf algebras. J. Algebra 259 (2003), no. 2, 512-532.

5. G. Carnovale, On the q-convolution on the line. Constr. Approx. 18 (2002), no. 3, 309-341.

4. G. Carnovale, Some isomorphisms for the Brauer groups of a Hopf algebra. Comm. Algebra 29 (2001), no. 11, 5291-5305.

3. G. Carnovale; T. H. Koornwinder, A q-analogue of convolution on the line. Methods Appl. Anal. 7 (2000), no. 4, 705-726.

2. G. Carnovale, On the braided Fourier transform on the n-dimensional quantum space. J. Math. Phys 40 (1999), no. 11, 5972-5997.

1. G. Carnovale, Quasidiagonal solutions of the Yang-Baxter equation, quantum groups and quantum super groups. Acta Appl. Math. 53 (1998), 187-228.

Survey publications

G. Carnovale, Brauer groups of a Hopf algebra. Atti dello Young Algebra Seminar, A.A. 2001-2002. http://www.mat.uniroma2.it/ricerca/pre-print/aree/algebra.htm

G. Carnovale, Classificazione di algebre di Hopf triangolari di dimensione finita secondo Etingof e Gelaki. Atti del workshop "TV2001: gruppi quantici e dintorni", Tor Vergata, maggio 2001. http://www.mat.uniroma2.it/ricerca/pre-print/aree/algebra.htm

Events:

Una giornata di Algebra a Roma: a conference in memory of Olivia Rossi Doria La Sapienza, 27 september 2007.

B-stable ideals and nilpotent orbits Rome, INdAM, october 8-12, 2007.

Representation Theory days in Zurich ETH Zurich, november 27-29 2009.

Quantum Groups, Clermont-Ferrand August 30-September 3, 2010.

Hopf algebras and Tensor Categories, University of Almerìa (Spain), july 4-8, 2011.

Symmetric Spaces and their Generalisations, II Levico Terme, june 25-29, 2012.