Department of Mathematics colloquium - Sibe Mardešić presents a sequence of lectures given by leading experts in the fields of theoretical and applied mathematics. The lectures take place at the Department of Mathematics, Faculty of Science, Bijenička cesta 30, Zagreb.

### Lecture announcement

**Time:**March 22, 2023 at 12:15PM

**Lecture room:**A101

**About the lecturer**: Alfio Quarteroni is Professor of Numerical Analysis and Director of MOX at the Politecnico of Milan (Italy) and Emeritus Professor at EPFL, Lausanne.
He is co-founder (and President) of MOXOFF, a spin-off company at Politecnico of Milan (2010).
He is a member of Accademia Nazionale dei Lincei, the European Academy of Science, the Academia Europaea, the Lisbon Academy of Science, and the Italian Academy of Engineering and Technology.
He was ranked n.48 worldwide, n.1 in Italy according to Top Mathematics Scientists 2022
His research group at EPFL has carried out the mathematical simulation of the Alinghi yacht, the winner of two editions (2003 and 2007) of the America’s Cup.
Among his awards and honours are the NASA Award for the pioneering work in Computational Fluid Dynamics in 1992, the Ghislieri prize, 2013, the International Galileo Galilei prize for Sciences 2015, the ECCOMAS Euler Medal 2022, the ICIAM Lagrange Prize 2023.

**Lecture abstract**: This presentation will focus on an integrated numerical model to simulate the cardiac function.
Physics-based models will represent the backbone of our approach, however their synergistic use with data driven models will be addressed as well.
Applications to several problems of clinical relevance will be discussed.
References
[1] A. Quarteroni, L. Dede’ and F. Regazzoni, Modeling the cardiac electromechanical function: a mathematical journey, Bullettin of the American Mathematical Society 59 (3) (1922), pp.371-403,
[2] S. Fresca, A. Manzoni, L. Dede` and A. Quarteroni, POD-enhanced deep learning-based reduced order models for the real-time simulation of cardiac electrophysiology in the left atrium, Frontiers in Physiology, 2022, in press
[3] R. Piersanti, F. Regazzoni, M. Salvador, Antonio F. Corno, L. Dedè, C. Vergara and A. Quarteroni, A 3D-0D closed-loop model for the simulation of cardiac biventricular electromechanics, 2021, Comput. Meth. Appl. Mech. Engrg., in press
[4] F. Regazzoni, M. Salvador, L. Dede’, and A. Quarteroni, A machine learning method for real-time numerical simulations of cardiac electromechanics, Comput. Meth. Appl. Mech. Engrg, in press, 2022
[5] L. Cicci, L. Fresca, S. Pagani, A.Manzoni and A.Quarteroni, Projection-based reduced order models for parametrized nonlinear time-dependent problems arising in cardiac mechanics, Mathematics in Engineering, in press, 2022
[6] M. Salvador, F. Regazzoni, S. Pagani, L. Dede’, N. Trayanova and A. Quarteroni, The role of mechanoelectric feedbacks and hemodynamic coupling in scar-related ventricular tachycardia, Computers in Biology and Medicine, in press, 2022
[7] F. Regazzoni, S. Pagani and A. Quarteroni, Universal Solution Manifold Networks (USM-Nets): nonintrusive mesh-free surrogate models for problems in variable domains, Journal of Biochemical Engineering, 2022, in press
[8] A. Quarteroni, L. Dede’, A. Manzoni and C. Vergara, Mathematical Modelling of the Human Cardiovascular System. Data, Numerical Approximation, Clinical Applications. Cambridge University Press, 2019

### Lecture announcement

**Time:**April 19, 2023 at 12:15PM

**Lecture room:**A101

**About the lecturer**: Anne Moreau is a full professor at the Laboratoire de Mathématiques d’Orsay and a scientific director of the Jacques Hadamard Library in Orsay (Paris-Saclay University). Her scientific expertise consists of several diverse topics, including representation theory, vertex algebras and algebraic geometry. She gave numerous courses on those topics, organized a few workshops, supervised several doctoral students, while currently she is preparing a book “Arc spaces and vertex algebras” with Tomoyuki Arakawa. She also manages or serves in editorial boards of several prestigious journals, such as “Algebras and Representation theory”, “Collection Panaromas et Synthèses de la SMF”, and “Publications Mathématiques de Besançon”.

**Lecture abstract**: To any vertex algebra one can canonically attach a certain Poisson variety called the associated variety. It is an important invariant which plays a role analogous to associated varieties of primitive ideals of the enveloping algebra for simple Lie algebras. Vertex algebras whose associated variety has only finitely many symplectic leaves are called quasi-lisse. They enjoy remarkable properties and appear in the 4D/2D duality in physics. This talk will give an introduction to the theory through various examples and applications.