# Invited talks

Conference talks and colloquia

*Definable algebraic invariants in (noncommutative) topology*, 2Tart Operator Theory Online Conference, June 2020;*Universal sofic groups*, Groups and Geometry, January 2019, University of Auckland;*An infinitary Gowers theorem for multiple tetris operation*, Unifying Themes in Ramsey Theory, November 2018, BIRS;*The complexity of the classification problem in ergodic theory*, Logic In Southern California, March 2018, University of California at Irvine;*The noncommutative Poulsen simplex*, Gupta Memorial Lecture, University of Regina, March 2018;*The complexity of the classification problem in ergodic theory*, 26th Meeting of the Italian Logic Association, September 2017, Padova;*A notion of dimension for inclusion of C*-algebras, and applications*, Workshop on Applications of Model Theory to Operator Algebras, University of Houston, August 2017;*A notion of dimension for inclusion of C*-algebras, and applications*, 2017 Noncommutative Geometry and Operator Algebras, May 2017;*A notion of dimension for inclusion of C*-algebras*, Workshop on C*-algebras and Dynamical Systems, CRM, Barcelona, March 2017;*Noncommutative simplices*, Colloquium at Queen's University Belfast, February 2017;*Operator systems in quantum information theory and noncommutative Choquet theory*, Colloquium at the University of Ottawa, January 2017;*Universal objects and extreme amenability: where topological dynamics meets Ramsey theory*, Colloquium at the University of Illinois at Chicago, December 1st, 2016;*Borel complexity and C*-dynamics*, UCLA Logic Colloquium, November 2016;*The noncommutative Poulsen simplex,*27th International Workshop on Operator Theory and Applications, Special Section on Noncommutative Inequalities, July 2016;*The Lusky simplex*, Spring 2016 AMS Sectional Meeting, Special Session on Descriptive set theory and its applications, April 2016;*The noncommutative Poulsen simplex*, Classification and set theory, Intitut Mittag-Leffler, March 2016;*Weak equivalence of actions and first order logic*, Logic in Southern California, Caltech, February 2016;

*Polish groupoids and the classification of operator algebraic varieties*, 2015 Winter CMS Meeting, Special Session on Descriptive set theory, December 2015;*The noncommutative Poulsen simplex*(**slides**), 2015 Winter CMS Meeting, Special Session on Operator Algebras, December 2015;*Noncommutative simplices and the mathematics of quantum physics*, Oliver Club (Department Colloquium), Cornell University, November 19th, 2015;*Polish groupoids and the classification problem for operator algebraic varieties*, Logic Seminar, Cornell University, November 2015;*The Poulsen simplex and Fraïssé theory for metric structures*, Workshop on Homogeneous Structures, November 2015, BIRS, Banff, Alberta, Canada;*Nonstandard methods in combinatorics*, Claremont Colleges Colloquium (October 21st, 2015);*The noncommutative Poulsen simplex*, 2015 West Coast Opeator Algebras Symposium, University of California at San Diego, October 2015;*The classification of multiplier algebras of operator algebraic varieties*, Colloquium, Universidad Complutense de Madrid, June 2015;*Noncommutative analogs of the Gurarij Banach space*(**abstract**,**slides**), 2015 Annual ASL Meeting, Special Session on Set Theory, University of Illinois at Urbana-Champaign, March 2015;*The complexity of classification problems in operator algebras*, Joint Mathematics Meeting 2015, Special Session on Classification Problems in Operator Algebras -- San Antonio, January 2015;*Uniqueness, homogeneity, and universality of the noncommutative Gurarij space*(**abstract**), Canadian Mathematical Society 2014 Winter Meeting, Special Session on Operator Algebras and Operator Theory, December 2014;*The classification problem for separable operator systems*(**abstract**,**slides**), 12th East Coast Operator Algebras Symposium -- Fields Institute, October 2014;*Ehrenfeucht–Fraïssé games in the logic for metric structures*, Workshop on Model Theory and C*-algebras -- University of Münster, July 2014;*Conjugacy and cocycle conjugacy of automorphisms of O_2 are not Borel*(**abstract**,**slides**), Workshop on C*-algebras and Dynamical Systems -- Fields Institute, June 2014;*An invitation to sofic groups*, Math Department Colloquium -- Boise State University, Boise, United States (April 22nd, 2014);*Borel complexity and automorphisms of C*-algebras*(**abstract**,**slides**), Workshop on Set Theory -- Mathematical Research Institute of Oberwolfach, January 2014;*Gottschalk's surjunctivity conjecture*(**abstract**), Arbeitsgemeinschaft: Sofic Entropy, Mathematical Research Institute of Oberwolfach, October 2013;*Unitary equivalence of automorphisms of C*-algebras*(**abstract**,**slides**), 2013 North American Annual ASL Meeting -- University of Waterloo, May 2013;*Model theoretic reformulations of the Connes embedding problem*(**abstract**), Workshop on sofic and hyperlinear groups and the Connes embedding conjecture, UFSC, Florianopolis, June 2013;*The complexity of the relation of unitary equivalence of automorphisms of separable C*-algebras*(**abstract**), Workshop on C*-Algebras, Dynamics, and Classification -- Mathematical Research Institute of Oberwolfach, October 2012;*Continuous logic and sofic groups (***abstract***,***slides***)*, Workshop on Continuous Logic and Functional Analysis -- Institut Camille Jordan, Lyon, July 2012;*Nonclassifiability of automorphisms of C*-algebras up to unitary equivalence*(**abstract**,**slides**), Worskhop on Descriptive Set Theory and Functional Analysis -- BIRS, June 2012;*Descriptive set theory and classification problems in C*-algebra theory*(**abstract**,**slides**), NSF/CBMS Regional Conference in the Mathematical Sciences -- University of Louisiana at Lafayette, May 2012.

Minicourses

Tutorial on

*Model Theory*, Workshop on Model theory and C*-algebras, Banff International Research Station (November 26-30, 2018);Masterclass on

*Applications of Model Theory to Operator Algebras*, Workshop on Applications of Model Theory to Operator Algebras, University of Houston (July 31 - August 4, 2017);*Fraïssé theory and generic objects in functional analysis*, Instituto de Ciencias Matemáticas, Madrid (June 27-29, 2015);*Lecture series on sofic groups, hyperlinear groups, and the Connes embedding problem*(with Valerio Capraro), Workshop on sofic and hyperlinear groups and the Connes embedding conjecture, UFSC, Florianopolis, Brazil (June 10-21, 2013).

Invited participation to workshops

26th meeting of the Italian Logic Association, University of Padova, September 25-28, 2017;

Workshop on Applications of Model Theory to Operator Algebras, University of Houston, July 31 - August 4, 2017;

2017 Noncommutative Geometry and Operator Algebras, Vanderbilt University, May 5-11, 2017;

Workshop on C*-algebras and Dynamical Systems, CRM, Barcelona, March 22, 2017;

The classification problem for quantum groups, Banff International Research Station, November 20-27, 2016

Heilbronn Focussed Research Meeting "Noncommutative graphs in quantum information theory", October 3-7, 2016 and February 6-10, 2017

LMS Research school "Combinatorics and operators in quantum information theory", September 5-9, 2016

27th International Workshop on Operator Theory and Applications, July 18-22, 2016

Workshop on Dynamical Systems and Operator Algebras, May 29 - June 1, 2016;

Spring 2016 AMS Sectional Meeting, April 2016;

2015 Winter CMS Meeting, December 5-7, 2015, Montreal, Canada;

Homogeneous Structures, November 8-13, 2015, BIRS, Banff, Alberta, Canada;

2015 West Coast Operator Algebras Seminar, October 10-11, 2015, University of California at San Diego, California, US;

2015 Annual ASL Meeting, March 25-28, 2015, University of Illinois at Urbana-Champaign, Illinois, US;

2015 Joint Mathematics Meetings, January 10-13, 2015, San Antonio, Texas, US;

2014 Canadian Mathematical Society Winter Meeting, December 5-8, 2014, McMaster University, Hamilton, Ontario, Canada;

2014 East Coast Operator Symposium, October 11-12, 2014, Fields Institute, Toronto, Canada;

Borel complexity and classification of operator systems, August 10-17, 2014, Focussed Research Group meeting, BIRS, Banff, Canada;

Nonstandard methods in number theory, AIM SQuaRE meeting, Palo Alto, California, US;

Model Theory and Operator Algebras, July 7-11, 2014, University of Münster, Münster, Germany;

Set Theory, January 13-17, 2014, Mathematical Research Institute of Oberwolfach, Obwerwolfach (Germany);

Sofic and hyperlinear groups and the Connes embedding conjecture, June 10-21, 2013, UFSC, Florianopolis, Brazil;

Nonstandard methods in number theory, June 3-7 2013, August 4-8 2014, and June 22-26 2015, AIM SQuaRE meeting, Palo Alto;

2013 North American ASL Meeting, May 8-11, 2013, University of Waterloo, Waterloo, Canada;

C*-Algebras, Dynamics, and Classification, October 28 - Novermber 3, 2012, MFO, Oberwolfach, Germany;

Descriptive Set Theory and Functional Analysis, June 18-22, 2012, BIRS, Banff, Alberta, Canada;

NSF/CBMS Regional Conference in the Mathematical Sciences, May 11-15, 2012, University of Louisiana at Lafayette, Louisiana, US;

15th Appalachian Set Theory Workshop, March 3rd, 2012, Carnagie Mellon University, Pittsburg, Pennsylvania, US;

Set Theory and C*-algebras, January 23-27, 2012, American Institute of Mathematics, Palo Alto, California, US.

Seminar talks

*The classification problem for extensions of C*-algebras*, Logic Seminar, California Institute of Technology, December 2020;*Ulam stability and definability*, Logic Seminar, Victoria University of Wellington, November 2020;*On solenoids and their complements*, Operator Algebras and Noncommutative Geometry Seminar, University of Wollongong, August 2020;*On solenoids and their complements*, Pure Mathematics Seminar, University of New South Wales, July 2020;

Nonstandard analysis and Diophantine equations, Caltech Logic Seminar, June 2019;

*The noncommutative Poulsen simplex*, Geometry and Analysis Seminar, University of Auckland, June 2018;*The complexity of the classification problem in ergodic theory*, Functional Analysis Seminar, UCLA, March 2018;*Actions of rigid groups on C*-algebras*, Analysis Seminar, University of Glasgow, January 2018;*The complexity of the classification problem in ergodic theory*, Functional Analysis Seminar, University of California at San Diego, November 2017;*The complexity of the classification problem in ergodic theory*(**slides**), Analysis Seminar, University of Glasgow, October 2017;*The complexity of the classification problem in ergodic theory*, Logic Seminar, University of Illinois at Urbana-Champaign, September 2017;*Borel complexity and C*-dynamics*, Intensive Research Program on Operator Algebras Weekly Seminar, CRM Barcelona, March 2017;*Noncommutative simplices*, Wabash Modern Analysis Seminar, Wabash College, February 2017;*Cocycle superrigidity and group actions on C*-algebras*, Operator Algebras Seminar, Purdue University, February 2017;A game-theoretic approach to Hjorth's turbulence theory, Logic Seminar, California Institute of Technology (January 2017);

Universal objects and extreme amenability: where topological dynamics meets Ramsey theory, Logic Seminar, California Institute of Technology (November 29, 2016);

*The omitting types theorem and the entropy realization problem*, Logic Seminar, University of Turin (July 26, 2016);*Weak equivalence and the entropy realization problem*, UCLA Functional Analysis Seminar, UCLA (March 2nd, 2016);*Weak equivalence for actions on the hyperfinite*II_1*factor*, UCSD (February 16th, 2016);*On the Erdős sumset conjecture*, Combinatorics Seminar, Caltech (January 13th, 2016);*A functional analytic perspective on the Poulsen simplex*, Functional Analysis seminar, University of Waterloo (December 13th, 2015);*Fraisse theory and the noncommutative Poulsen simplex*, Caltech-UCLA logic seminar (October 9th 2015);*Fraïssé theory and universal objects in group theory and metric geometry*, Geometry and Analysis on Groups Seminar -- University of Vienna (May 6th, 2015);*Borel complexity theory and Gromov's program*, Geometry and Analysis on Groups Seminar -- University of Vienna (May 5th, 2015);*Operator system and operator space analogs of the Cuntz algebra*. Operator Algebra Seminar --- University of Copenhagen (April 29th, 2015);*Generic spaces of operators*, Séminaire de Logique --- Institut Camille Jordan, Lyon (March 31st, 2015);*A dichotomy for the complexity of the classification problem of automorphisms of C*-algebras*, Descriptive Set Theory Seminar --- Université Paris 6 (February 17th, 2015);*Generic spaces of operators*, Séminaire Général de Logique -- Université Paris 7 (February 16th, 2015);*An invitation to sofic groups*, Geometric & Combinatorial Group Theory Seminar -- McGill University, Montreal (January 28th, 2015);*Polish groupoids and functorial complexity*, Category Seminar -- McGill University, Montreal (January 27th, 2015);*The noncommutative Gurarij space*(**abstract**), Logic Seminar -- University of Illinois at Chicago (November 18th, 2014):*The noncommutative Gurarij space and other Fraisse limits in functional analysis*(**abstract**), Model Theory Seminar -- McMaster University, Hamilton, Ontario, Canada (October 28th, 2014);*Functorial complexity of Polish and analytic groupoids*, Set Theory Seminar, Fields Institute (August 1st, 2014);*The Lopez-Escobar theorem for metric structures, and the topological Vaught conjecture*, Toronto Set Theory Seminar, Fields Institute (May 23rd, 2014);*Conjugacy and cocycle conjugacy of automorphisms of O_2 are not Borel*(**abstract**), Operator Algebras Seminar, Fields Institute (April 15th, 20114);*Borel complexity and automorphisms of C*-algebras*(**abstract**,**slides**), Group Actions and Dynamics Seminar, University of Texas at Austin (March 5th, 2014);*The descriptive set theory of Polish groupoids*, Set Theory Seminar, Fields Institute (December 13th, 2013);*The algebraic eigenvalues conjecture for sofic groups*, Operator Algebras Seminar -- Fields Institute (October 29th, 2013);*Sofic and hyperlinear groups and the logic for metric structures*(**abstract**), Geometry and Analysis on Groups Seminar -- University of Vienna (October 2nd, 2013);*The algebraic eigenvalues conjecture for sofic groups*(**abstract**), Operator Algebras Seminar -- University of Copenhagen (September 18th, 2013);*Classification of automorphisms of operator algebras up to conjugacy*(**abstract**), Seminar on Set Theory and Applications -- University of Copenhagen, Denmark (September 5th, 2013)*;**The automorphisms of a Jiang-Su stable C*-algebra are not classifiable up to conjugacy*(**abstract**), Operator Algebras Seminar -- Fields Institute (August 8th, 2013);*B**orel complexity of equivalence relations from operator algebras*(**abstract**), Set Theory Seminar -- Fields Institute (May 3rd, 2013);*C*-algebras and omytting types*(**abstract**), Seminar in operator theory and operator algebras -- University of Virginia, Charlottesville (March 5th, 2013);*The complexity of the relation of unitary equivalence for automorphisms of separable unital C*-algebras*(**abstract**), Analysis Seminar -- University of Waterloo (October 19th, 2012);*The complexity of the relation of unitary equivalence for automorphisms of separable unital C*-algebras*(**abstract**), Operator Algebras Seminar -- Fields Institute (October 16th, 2012);*La logica per strutture metriche ed il numero di gruppi sofici e iperlineari universali*(**abstract**,**slides**) -- University of Turin, Italy (June 27th, 2012);*Turbulent actions on automorphism groups of C*-algebras*(**abstract**), Operator Algebras Seminar -- Fields Institute (April 12th, 2012);*Nonstandard methods and additive combinatorics: effective estimates for Jin's theorem*(**abstract**), Logic Seminars at Pisa -- University of Pisa (April 23rd, 2012);*On the number of universal sofic and hyperlinear groups*(**abstract**,**slides**), LaWiNe Seminar -- University of Vienna (April 18th, 2012);*Ultraproducts in logic and group theory*(**abstract**,**slides**), LaWiNe Seminar -- University of Vienna (April 18th, 2012);*Logic for metric structures and the number of universal sofic and hyperlinear groups*(**abstract**), Set Theory Seminar -- Fields Institute (January 20th, 2012);*The Continuum Hypothesis and ultrapowers of C*-algebras and von Neumann algebras*, Logic Seminars at Pisa -- University of Pisa (May 31st, 2011);*The structure theorem for unitary representations of amenable groups*, Logic Seminars at Pisa -- University of Pisa (16th June, 2010).

Other talks and presentations

*Groupoid Lp operator algebras*(**abstract**,**slides**), Canadian Annual Symposium on Operator Algebras and Their Applications (June 26th, 2014);*An introduction to Fourier analysis and Roth's theorem*(**slides**), AIM SQuaRE preparatory meeting (April 11th, 2013);*An introduction to Borel complexity of equivalence relations*, University of Virginia, Charlottesville (March 8th, 2013);*Some nonstandard techniques in combinatorics*(**slides**), AIM SQuaRE preparatory meeting (June 7th, 2012);*Classification of automorphisms of C*-algebras*(**abstract**,**slides**), Canadian Operator Symposium 2012 -- Queen's University (May 24th, 2012)

Other workshop and conferences

LMS Research School "Combinatorics and Operators in Quantum Information Theory", Queen's University Belfast, September 5-9, 2016;

Measured Group Theory, August 29 - September 2, 2016, MFO, Oberwolfach, Germany;

C*-algebras, August 22-26, 2016, MFO, Oberwolfach, Germany;

Dynamics and C*-Algebras: Amenability and Soficity, October 20-24, 2014, BIRS, Banff, Alberta, Canada;

42nd Canadian Annual Symposium on Operator Algebras and Their Applications, June 23-27 2014, Fields Institute, Toronto, Canada;

Thematic program on Abstract Harmonic Analysis, Banach and Operator Algebras, January-June 2014, Fields Institute, Toronto, Canada;

Arbeitsgemeinschaft: Sofic Entropy, October 7-11, 2013, MFO, Oberwolfach, Germany;

Descriptive Set Theory, September 30 - October 4, ESI, Vienna, Austria;

Forcing and Large Cardinals, September 23-27, 2013, ESI, Vienna, Austria;

Groups, Dynamical Systems and C*-Algebras, August 20-24, 2013, Westfälische Wilhelms-Universität Münster, Münster, Germany;

Canadian Annual Symposium on Operator Algebras and their Applications, May 27-31, 2013, Fields Institute, Toronto, Canada;

Masterclass on Sofic Groups and applications to Operator Algebras, November 5-9, 2012, University of Copenhagen, Denmark;

Thematic program on Forcing and its Applications, July-December 2012, Fields Institute, Toronto, Canada;

Continuous Logic and Functional Analysis, July 16-20, 2012, Institut Camille Jordan, Lyon, France;

Canadian Operator Symposium 2012, May 21-25, 2012, Queen's University, Kingston, Ontario, Canada;

5th Young Set Theory Workshop, April 30 - May 4, 2012, CIRM, Marseille, France;

2011 CMS Winter Meeting, December 10-12, 2011, Delta Chelsea Hotel, Toronto, Ontario, Canada;

Computational Prospects of Infinity II, June 15 - July 13, 2011, IMS, National University of Singapore, Singapore;

Ramsey Theory in Logic, Combinatorics and Complexity, May 22-27, 2011, University Residential Center, Bertinoro, Italy;

Advanced courses on II_1 factors, May 2-20, Institut Henri Poincare, Paris, France;

An invitation to von Neumann algebras and ergodic theory of group actions, CIRM, Marseille, France;

Group Actions on Measure Spaces, March 24-27, 2011, Texas A&M University, College Station, USA;

The Concentration Phenomenon, Transformation Groups and Ramsey Theory, October 12-15, 2010, Fields Institute, Toronto, Canada;

Infinite Combinatorics, June 28, 2010, Mathematics Research Center "Ennio De Giorgi", Pisa, Italy.