Marco Antei | |
|---|---|
| Born | 2 March 1978 |
| Nationality | Italian |
| Alma mater | University of Lille |
| Scientific career | |
| Institutions | University of Lille, Max Planck Institute for Mathematics, KAIST, Ben-Gurion University of the Negev, Côte d'Azur University, University of Costa Rica, Lucerne University of Applied Sciences and Arts |
| Thesis | Extension de torseurs (2008) |
Marco Antei (born 1978, Sanremo) is an Italian mathematician and LGBT+ activist.
Antei was awarded his PhD in mathematics in 2008 from the University of Lille [1] under the supervision of Michel Emsalem. He later worked at the Max Planck Institute for Mathematics in Bonn, the KAIST in Daejeon, the Ben-Gurion University of the Negev in Beersheba, the Côte d'Azur University in Nice before joining the University of Costa Rica. [2] He has been lecturer at Lucerne University of Applied Sciences and Arts since 2022. Antei studies within the field of geometry. His areas of interest in research focus on algebraic and arithmetic geometry, and applications. He particularly studies the fundamental group scheme, torsors and their connections.
The existence of the fundamental group scheme was conjectured by Alexander Grothendieck, while the first proof of its existence is due, for schemes defined over fields, to Madhav Nori. [3] [4] [5] Antei, Michel Emsalem and Carlo Gasbarri proved the existence of the fundamental group scheme for schemes defined over Dedekind schemes and they also defined, and proved the existence of, the quasi-finite fundamental group scheme. [6] [7]
In 2020 Antei received the Innovating professor award at the University of Costa Rica, for being able to move from in presence classes to virtual classes, at the beginning of the COVID-19 pandemic, in the best possible way. The awarded professors have been selected by the students of the UCR. [8] [9]
Antei stands out for his commitment in the fight for the rights of the LGBT+ community. In particular in 2015 he created the first LGBT+ association in the province of Imperia, subsidiary of the national association Arcigay, and he has been president of it until 2018, [10] [11] then again since 2023. [12] During his mandate he also organized in November 2016 the first Transgender Day of Remembrance in the city of Sanremo. In 2020, he was featured in a remote meeting with European Commission President Ursula von der Leyen where the rights of LGBT+ people within the European Union were discussed [13] [14]
In the mathematical field of algebraic topology, the fundamental group of a topological space is the group of the equivalence classes under homotopy of the loops contained in the space. It records information about the basic shape, or holes, of the topological space. The fundamental group is the first and simplest homotopy group. The fundamental group is a homotopy invariant—topological spaces that are homotopy equivalent have isomorphic fundamental groups. The fundamental group of a topological space Failed to parse : X is denoted by .
In mathematics, an isomorphism class is a collection of mathematical objects isomorphic to each other.
The number π is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number π appears in many formulae across mathematics and physics. It is an irrational number, meaning that it cannot be expressed exactly as a ratio of two integers, although fractions such as are commonly used to approximate it. Consequently, its decimal representation never ends, nor enters a permanently repeating pattern. It is a transcendental number, meaning that it cannot be a solution of an equation involving only sums, products, powers, and integers. The transcendence of π implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge. The decimal digits of π appear to be randomly distributed, but no proof of this conjecture has been found.
In mathematics, Euler's identity is the equality
David Bryant Mumford is an American mathematician known for his work in algebraic geometry and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science. He is currently a University Professor Emeritus in the Division of Applied Mathematics at Brown University.
In mathematics, a group scheme is a type of object from algebraic geometry equipped with a composition law. Group schemes arise naturally as symmetries of schemes, and they generalize algebraic groups, in the sense that all algebraic groups have group scheme structure, but group schemes are not necessarily connected, smooth, or defined over a field. This extra generality allows one to study richer infinitesimal structures, and this can help one to understand and answer questions of arithmetic significance. The category of group schemes is somewhat better behaved than that of group varieties, since all homomorphisms have kernels, and there is a well-behaved deformation theory. Group schemes that are not algebraic groups play a significant role in arithmetic geometry and algebraic topology, since they come up in contexts of Galois representations and moduli problems. The initial development of the theory of group schemes was due to Alexander Grothendieck, Michel Raynaud and Michel Demazure in the early 1960s.
In mathematics, the plus construction is a method for simplifying the fundamental group of a space without changing its homology and cohomology groups.
In mathematics, the Hurewicz theorem is a basic result of algebraic topology, connecting homotopy theory with homology theory via a map known as the Hurewicz homomorphism. The theorem is named after Witold Hurewicz, and generalizes earlier results of Henri Poincaré.
Motivic cohomology is an invariant of algebraic varieties and of more general schemes. It is a type of cohomology related to motives and includes the Chow ring of algebraic cycles as a special case. Some of the deepest problems in algebraic geometry and number theory are attempts to understand motivic cohomology.
In mathematics, a fundamental polygon can be defined for every compact Riemann surface of genus greater than 0. It encodes not only the topology of the surface through its fundamental group but also determines the Riemann surface up to conformal equivalence. By the uniformization theorem, every compact Riemann surface has simply connected universal covering surface given by exactly one of the following:
Società Sportiva Dilettantistica Sanremese Calcio, commonly referred to as Sanremese, is an Italian association football club, based in Sanremo, Liguria.
The étale or algebraic fundamental group is an analogue in algebraic geometry, for schemes, of the usual fundamental group of topological spaces.
In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers. When the ratio of lengths of two line segments is an irrational number, the line segments are also described as being incommensurable, meaning that they share no "measure" in common, that is, there is no length, no matter how short, that could be used to express the lengths of both of the two given segments as integer multiples of itself.
In mathematics, the fundamental group scheme is a group scheme canonically attached to a scheme over a Dedekind scheme. It is a generalisation of the étale fundamental group. Although its existence was conjectured by Alexander Grothendieck, the first proof if its existence is due, for schemes defined over fields, to Madhav Nori. A proof of its existence for schemes defined over Dedekind schemes is due to Marco Antei, Michel Emsalem and Carlo Gasbarri.
In mathematics, an essentially finite vector bundle is a particular type of vector bundle defined by Madhav V. Nori, as the main tool in the construction of the fundamental group scheme. Even if the definition is not intuitive there is a nice characterization that makes essentially finite vector bundles quite natural objects to study in algebraic geometry. The following notion of finite vector bundle is due to André Weil and will be needed to define essentially finite vector bundles:
Vikram Bhagvandas Mehta was an Indian mathematician who worked on algebraic geometry and vector bundles. Together with Annamalai Ramanathan he introduced the notion of Frobenius split varieties, which led to the solution of several problems about Schubert varieties. He is also known to have worked, from the 2000s onward, on the fundamental group scheme. It was precisely in the year 2002 when he and Subramanian published a proof of a conjecture by Madhav V. Nori that brought back into the limelight the theory of an object that until then had met with little success.
In algebraic geometry, a torsor or a principal bundle is an analog of a principal bundle in algebraic topology. Because there are few open sets in Zariski topology, it is more common to consider torsors in étale topology or some other flat topologies. The notion also generalizes a Galois extension in abstract algebra.
Prakash Belkale is an Indian-American mathematician, specializing in algebraic geometry and representation theory.
Madhav Vithal Nori is an Indian mathematician. In 1980 he has received the INSA Medal for Young Scientists.
In mathematics, a Nori semistable vector bundle is a particular type of vector bundle whose first definition has been first implicitly suggested by Madhav V. Nori, as one of the main ingredients for the construction of the fundamental group scheme. The original definition given by Nori was obviously not called Nori semistable. Also, Nori's definition was different from the one suggested nowadays. The category of Nori semistable vector bundles contains the Tannakian category of essentially finite vector bundles, whose naturally associated group scheme is the fundamental group scheme .
