Talks

Conference talks  some with Video or Text

• The Lefschetz defect and the classification of Fano 4-folds with large Picard number, at the 2025 Summer Research Institute in Algebraic Geometry, session Moduli of higher-dimensional varieties, Colorado State University, Fort Collins, CO, July 2025

• Classifying Fano 4-folds with large Picard number, at the conference Harmonies in Moduli Spaces, in occasion of Lucia Caporaso's birthday, Università Roma Tre, June 2025

• Classifying Fano 4-folds with large Picard number, at the Workshop on Cremona groups, CIRM (Marseille), May 2025

• Varietà di Fano e geometria birazionale, Incontro Scientifico UMI, Torino, 2025. Testo.

• Classifying Fano 4-folds with large Picard number, Gianfranco Casnati’s Legacy - A Meeting in Algebraic Geometry, Politecnico di Torino, February 2025

• Le Fano 4-folds con secondo numero di Betti grande sono prodotti di superfici, Giornata dipartimentale di Geometria in occasione della giubilazione di Vassil Kanev, Università di Palermo, October 2024.

• Fano manifolds and the Lefschetz defect, minicourse at the school V ELGA - Latin American School of Algebraic Geometry, Cabo Frio, Brazil, August 2024. Lecture 1, lecture 2, lecture 3, lecture 4.

• Fano 4-folds with rational fibrations onto threefolds, at the conference Fano and uniruled varieties, Będlewo, Poland, July 2024.

• Fano 4-folds with large Picard number are products of surfaces, at the Conférence à la mémoire de Jean-Pierre Demailly, Grenoble, June 2024. Video

• Fano 4-folds with large second Betti number are products of surfaces, at the conference  WINGS - Women In Number Theory and Geometry,  Shrewsbury, UK, April 2024. Text.

• Fano manifolds with Lefschetz defect 3, at the conference AGaFe - A conference in honor of Philippe Ellia on the occasion of his retirement, Ferrara, February 2024.

• Fano 4-folds with second Betti number greater than 12 are products of surfaces, at the conference GTM - Genova, Torino, Milano Seminar, Milano, February 2024.

• Fano 4-folds with rational fibrations onto threefolds, at the conference Fano and Hyperkähler varieties in Genova, January 2024.

• Fano 4-folds with b_2>12 are products of surfaces, at the Workshop on Classical Algebraic Geometry, IBS Center for Complex Geometry, Daejeon, Korea, December 2023.

• Fano 4-folds with b_2>12 are products of surfaces, at the Birational Workshop, HIM Bonn, November 2023. Video

• Fano 4-folds with b_2>12 are products of surfaces, at the  Conference on Rationality and Hyperbolicity, University of Notre Dame, June 2023.

• Fano 4-folds with b_2>12 are products of surfaces, at the ANR Fracasso meeting, University of Bordeaux, March 2023.

• Fano manifolds with Lefschetz defect 3, at the conference Simons Conference on Higher Dimensional Geometry, New York, October 2022. Video

• Fano manifolds with Lefschetz defect 3, at the conference Algebraic Geometry in Roma Tre, on the occasion of Sandro Verra's 70th birthday, Rome, June 2022.

• Fano 4-folds with a small contraction, at the conference Newton-Okounkov bodies and Fanosearch, Levico Terme, October 2021. Text

• On Fano 4-folds with Lefschetz defect 3, online conference Fano varieties and birational geometry, University of Nottingham, February 2021. Video  Text

• On Fano 4-folds with Lefschetz defect 3, online workshop Toric Fano varieties and beyond, December 2020. Text

• Fano manifolds and birational geometry, minicourse (5 lectures) at the conference 9th Swiss-French workshop in Algebraic Geometry, Charmey (Switzerland), January 2020.

• Fano 4-folds with rational fibrations, at the conference Algebraic Geometry in Calabria, Cosenza, November 2019.

• Special rational fibrations in Fano 4-folds, at the conference The Geometry of Algebraic Varieties, C.I.R.M., Marseille, October 2019. Video

• Fano 4-folds con fibrazioni razionali, at the XXI Convegno dell'Unione Matematica Italiana, Pavia, September 2019. Slides

• Fano 4-folds with rational fibrations, at the conference Del Pezzo surfaces and Fano varieties, Heinrich-Heine-Universität Düsseldorf, July 2019.

• On the Fano variety of linear spaces contained in two odd-dimensional quadrics, at the conference Classical Algebraic Geometry in Milano, Milano, July 2019.

• Fano manifolds and birational geometry, minicourse (4 lectures) at the conference GAeL XXVII, Bucharest, June 2019.

• Fano 4-folds with rational fibrations, at the conference Higher dimensional complex geometry, Saarbruecken, April 2019.

• Fano 4-folds with rational fibrations, at the conference A journey through projective and birational geometry - Together with Marco Andreatta, Trento, January 2019.

• Fano 4-folds with rational fibrations, at the workshop Constructions and obstructions in birational geometry, Edinburgh, November 2018.

• Fano 4-folds with rational fibrations, at the workshop Varieties and group actions, IMPAN, Warsaw, July 2018.

• Fano 4-folds with rational fibrations, at the conference Classical Algebraic Geometry and related topics, Genova, July 2018.

• The blow-up of P^4 at 8 points and its Fano model, via moduli of vector bundles on a del Pezzo surface, at the Mini-workshop of Algebraic Geometry, Milano, May 2018.

• The blow-up of P^4 in 8 points and its Fano model, via moduli of vector bundles on a degree 1 del Pezzo surface, at the workshop Algebraic Geometry: Birational Classification, Derived Categories, and Moduli, Oberwolfach, September 2017.

• The blow-up of P^4 in 8 points and its Fano model, via moduli of vector bundles on a degree 1 del Pezzo surface, at the British Algebraic Geometry meeting (BrAG), Cambridge (UK), September 2017.

• The geometry of Fano varieties, at the conference From students to mathematicians: an excellence master program in Trieste, SISSA, Trieste, June 2017.  

• Geometria dei blow-up di spazi proiettivi in punti generali, e dei loro modelli Fano, at the meeting Un pomeriggio in onore di Maurizio Cornalba, Pavia, May 2017.

• On the Fano variety of linear spaces contained in two odd-dimensional quadrics, at the workshop Beyond Toric Geometry, BIRS, Oaxaca (Mexico), May 2017.

• On the Fano variety of linear spaces contained in two odd-dimensional quadrics, at the conference GVA (Geometria delle Varietà Algebriche) 2016, Levico Terme, June 2016.

• On the birational geometry of Fano 4-folds with large second Betti number, at the workshop Classical Algebraic Geometry, Oberwolfach, June 2016.

• On the birational geometry of Fano 4-folds with large second Betti number, at the meeting Algebraic Geometry Genova-Nice-Torino, Nice, January 2016.

• Constructing families of minimal rational curves with singular Variety of Minimal Rational Tangents, at the Winter School Rational Curves on Algebraic Varieties, Busan, Korea, January 2016.

• Fano 4-folds, flips, and smooth blow-ups of points, at the Genova-Torino-Milano Seminar: some topics in Commutative Algebra and Algebraic Geometry, Milano, September 2015. 

• Fano 4-folds, flips, and smooth blow-ups of points, at the conference Classification of Projective Varieties, Levico Terme (Trento), September 2015.

• Parabolic vector bundles on P^1 and the variety of linear subspaces contained in two odd-dimensional quadrics, at the ISAAC 2015 - 10th congress of the International Society for Analysis, its Applications and Computation - Session on Complex Geometry, Macau, China, August 2015.

• On the birational geometry of Fano 4-folds with large second Betti number, at the INdAM Italian-Korean Meeting on Algebraic Geometry 2015, Cortona, July 2015.

• Parabolic bundles on P^1 and the variety of linear subspaces contained in two odd-dimensional quadrics, at the Colloquium GRIFGA 2015, Gargnano del Garda (Brescia), April 2015.

• Locally unsplit families of rational curves on Fano manifolds, at the conference Classical and modern algebraic Geometry, special session of the First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI, Bilbao, July 2014. Slides

• Prime divisors and birational geometry in Fano manifolds, at the conference Landau-Ginzburg theory and Fano varieties, IBS Center for Geometry and Physics, Gyeongju, Korea, May 2014.

• Prime divisors and birational geometry in Fano manifolds, at the conference Classification of Algebraic Varieties and related topics, Cetraro, September 2013.

• Locally unsplit families of rational curves on Fano manifolds, at the conference Geometria Algebrica nella Capitale, Rome, July 2013.

• Numerical invariants of Fano varieties, at the conference GAEL XX+, Grenoble, June 2012.

• Mori dream spaces and Fano varieties, minicourse (3 lectures) at the conference Géométrie Algébrique et Géométrie Complexe, C.I.R.M., Marseille, March 2012. Notes

• A new invariant of Fano manifolds, at the Workshop on algebraic surfaces and related topics, Poitiers, October 2011.

• Un nuovo invariante delle varietà di Fano, at the XIX Convegno dell'Unione Matematica Italiana, Bologna, September 2011. Slides

• A new invariant of Fano manifolds, at the 3rd Summer Workshop on Algebraic Geometry, Tuebingen, July 2011.

• On the birational geometry of Fano 4-folds, at the Workshop on MMP and Shokurov's ACC conjecture, Trento, July 2010.

• On the Picard number of divisors in Fano manifolds, at the conference After Carnival: an Algebraic Geometry Party, Torino, February 2010.

• On the Picard number of divisors in Fano manifolds, at the Workshop on Hodge Theory and Algebraic Geometry, Trento, September 2009.

• Fano varieties with large Picard number, at the Workshop on birational automorphism groups and birational geometry, Centro De Giorgi, Pisa, October 2008.

• Almost Fano threefolds with pseudo-index > 1, at the workshop Higher Dimensional Varieties, Milano, October 2006.

• Varietà toriche coperte da rette nello spazio proiettivo, at the conference Giornate Genovesi - Progetto INDAM 2006, Genova, October 2006.

• Almost Fano threefolds with pseudo-index > 1, at the workshop Birational Geometry of Varieties, Pisa, May 2006. Slides

• On covering and quasi-unsplit families of rational curves, at the conference AGaFe - Geometry of Algebraic Varieties, Ferrara, June 2005.

• On covering and quasi-unsplit families of rational curves, at the conference Current Geometry 2005, Napoli, June 2005.

• The maximal Picard number of a toric Fano variety, at the Joint BeNeLuxFra Conference in Mathematics - Joint meeting of the Belgian, Dutch, Luxembourg and French Mathematical Societies, Gent (Belgium), May 2005. Slides

• The maximal Picard number of a toric Fano variety, at the Workshop on resolution of singularities, factorization of birational mappings, and toroidal geometry, BIRS, Banff (Canada), December 2004.

• Una proprietà numerica delle varietà di Fano, at the XVII Convegno dell'Unione Matematica Italiana, Milano, September 2003. Slides

• Contrazioni di varietà toriche di Fano, at the conference Giornate di Geometria Algebrica ed Argomenti Correlati - VI, Anacapri, May 2002.

• Toric Mori theory  and contractions to non-projective varieties, University of Warwick, within the workshop Warwick Teach-in on 3-folds and the Cambridge-Oxford-Warwick Junior Algebraic Geometry Seminar, January 2002.

• Variétés toriques de Fano et diviseurs invariants, at the conference Géométrie Algébrique Complexe, C.I.R.M., Marseille, December 2001.

Seminar talks: 

• Fano 4-folds with large Picard number are products of surfaces, zoom talk, Seminario nacional de geometría algebraica en línea, Mexico, November 2024. Text.

• Fano 4-fold con fibrazioni razionali su 3-folds, University of Roma Tor Vergata, May 2024.

• Fano 4-folds with b_2>12 are products of surfaces, zoom talk, Birational Geometry Seminar, March 2024. Text. Video.

• Fano 4-folds with large second Betti number are products of surfaces, zoom talk, Geometria em Lisboa seminar, November 2023.  Text. Video.

• Fano 4-folds with large Picard number, University of Basel, October 2023.

• Fano 4-folds with b_2>12 are products of surfaces, University of Pisa, March 2023.

• Fano 4-folds with small contractions, University of Ferrara, September 2022.

• Fano manifolds with Lefschetz defect 3, zoom talk,  Ludwig-Maximilians University, Munich, June 2022. 

• Fano manifolds with Lefschetz defect 3, zoom talk, IBS Center for Geometry and Physics, Korea, April 2022. 

• Fano manifolds with Lefschetz defect 3, University of Roma La Sapienza, March 2022.

• Fano 4-folds with small contractions, University of Genova, March 2022.

• Fano manifolds with Lefschetz defect 3, zoom talk, Columbia University, February 2022.

• Fano manifolds with Lefschetz defect 3, zoom talk, University of Notre Dame, February 2022. Notes.

• Fano 4-folds with rational fibrations, Universität des Saarlandes, Saarbrücken, June 2018.  

• On the Fano variety of linear spaces contained in two odd-dimensional quadrics, Heinrich-Heine-Universität Düsseldorf, December 2017.

• On the Fano variety of linear spaces contained in two odd-dimensional quadrics, EPFL, Lausanne, December 2017.

• The blow-up of P^4 in 8 points and its Fano model, via moduli of vector bundles on a degree 1 del Pezzo surface, University of Genova, November 2017. 

• The blow-up of P^4 in 8 points and its Fano model, via moduli of vector bundles on a degree 1 del Pezzo surface, Institut Fourier, Grenoble, October 2017.

• On the birational geometry of Fano 4-folds with large second Betti number, University of Pavia, November 2015.

• Divisori primi e geometria birazionale nelle varietà di Fano, University of Pisa, September 2014.

• Locally unsplit families of rational curves on Fano manifolds, Max Planck Institute for Mathematics, Bonn, April 2014.

• Prime divisors and birational geometry in Fano manifolds, Institut Fourier, Grenoble, February 2014.

• Fano varieties with large second Betti number, Laboratoire J.A. Dieudonné, Nice, January 2014.  

• Mori dream spaces and Fano varieties, minicourse (3 lectures), Institut de Recherche Mathématique Avancée, Strasbourg, January 2013. 

• Sul numero di Picard dei divisori di una varietà di Fano, University of Padova, May 2011.

• Sul numero di Picard dei divisori di una varietà di Fano, University of Pisa, April 2011.

• Fano varieties with large second Betti number (two talks), Ludwig-Maximilians University, Munich, April 2010.

• Sur le nombre de Picard des diviseurs d'une variété de Fano, Institut de Mathématiques de Jussieu, Paris, October 2009.

• Sur le nombre de Picard des diviseurs d'une variété de Fano, Institut Fourier, Grenoble, October 2009.

• Fano varieties with large Picard number, University of Cologne, October 2007.

• Fano varieties with large Picard number, Freie Universität Berlin, July 2007.

• Varietà toriche: morfismi equivarianti, singolarità e teoria di Mori (two talks), Politecnico Milano, December 2006.

• Varietà quasi Fano di dimensione 3 e pseudo-indice > 1, University of Roma Tre, November 2006.

• Quozienti per famiglie di curve che coprono una varietà, University of Ferrara, November 2006.

• Variétés toriques couvertes par des droites dans l'espace projectif and Variétés presque Fano de dimension 3 et de pseudo-indice > 1, Institut Fourier, Grenoble, June 2006.

• On covering and quasi-unsplit families of curves,  Royal Institute of Technology (KTH), Stockholm, May 2006.

• Varietà toriche coperte da rette nello spazio proiettivo, University of Pavia, February 2006.

• Famiglie quasi-unsplit di curve che coprono una varietà, University of Roma Tor Vergata, June 2005.

• On covering and quasi-unsplit families of rational curves, University of Bayreuth, April 2005 .

• Il massimo numero di Picard di una varietà di Fano torica, University of Trento, March 2005.

• On some numerical properties of Fano varieties,  Royal Institute of Technology (KTH), Stockholm, November 2004.

• Limiti di radici di fibrati lineari su famiglie di curve nodali, University of L'Aquila, October 2004. 

• Modules de racines de fibrés en droites sur des courbes, Institut Fourier, Grenoble, June 2004.

• Limiti di punti di 3-torsione nella varietà di Picard delle curve stabili, University of Bologna, May 2004.

• Limiti di radici di fibrati lineari su curve, University of Pisa, October 2003.

• Moduli di curve Prym e rivestimenti doppi ammissibili, University of Trento, April 2003.

• Proprietà combinatorie delle curve spin stabili, University of Milano, November 2002.

• Varietà toriche di Fano, University of Roma Tre, May 2002.

• Varietà toriche di Fano, University of Roma "La Sapienza'', February 2002.

• Contractible classes in the Mori cone of toric varieties, University of Cambridge, February 2002.

• Variétés toriques de Fano et diviseurs invariants, Institut Fourier, Grenoble, October 2001.

• Géométrie birationelle des variétés toriques de Fano, d'après Sato, Institut Fourier, Grenoble, March 2001.

• Fattorizzazione delle applicazioni birazionali toriche, da Morelli, Wlodarczyk e altri, University of Roma Tor Vergata, February 2001.

• Birational maps between surfaces and minimal models,  M.I.T., in the Baby Algebraic Geometry Seminar, December 1999.