* Seuraavan viikon tapahtumat merkitty tähdellä
Joonas Vättö (Aalto University)
Squeezing: from classical to quantum fields
* Today * Tuesday 27 January 2026, 10:15, M3 (M234)
This is an informal, pedagogical talk. After recalling bosonic quantisation in the framework of holomorphic Fock spaces and Kähler geometry, I will explain squeezing operators and their role as unitary implementers between a priori inequivalent vacuum sectors. As a result, I will sketch a (new-ish) streamlined, and conceptually simple proof of Shales theorem (1962), which gives a complete classification of the unitarily equivalent vacua in free bosonic quantum field theory. A focus is on explaining how seemingly complex phenomena in quantum field theory arise from comparatively simple concepts in symplectic geometry and functional analysis.
Aino Kuusi (Aalto University)
Gaussian processes in addressing movement-related beta modulation in Parkinson's disease (MSc presentation)
* Wednesday 28 January 2026, 15:30, Teams & Meilahti
Physical location: Meilahden tornisairaala, P-taso, Neuvotteluhuone Pp.118
Online location (Teams): https://teams.microsoft.com/l/meetup-join/19%3ameeting_YjIxODc4M2UtNGQ4Mi00NWNkLWI0OWEtMDNjYTk2YmZjMWZl%40thread.v2/0?context=%7b%22Tid%22%3a%22e307563d-5fcd-4e12-a554-9927f388b1cf%22%2c%22Oid%22%3a%22f3129cc9-ac60-4371-b1f5-0e710de35f43%22%7d
Abstract:
Parkinson's disease (PD) is a progressive neurodegenerative disease whose diagnosis is typically based on clinical, especially motor, symptoms. However, the disease also involves many non-motor and cognitive symptoms, such as depression, fatigue, and dementia. Current research aims to find an MEG-based biomarker that could identify PD at an earlier stage, i.e., before the onset of motor symptoms, and possibly predict disease progression. MEG recordings during rest and motor tasks have demonstrated abnormal 13-30 Hz (beta) oscillations in PD patients. In particular, the movement-related beta modulation has been shown to be altered in PD. This thesis investigates the beta modulation and its relation to cognitive function and Parkinson's disease using Gaussian process -based models. These models are non-parametric probabilistic models that are able to capture non-linear dependencies and provide probabilistic confidence intervals. Gaussian process regression was used to study whether beta range time courses can explain clinical test scores. In addition, Gaussian process classification was used to identify patients from controls based on the beta time courses. No relationship between the beta time courses and clinical test scores was found with the regression analysis. The classifier was able to classify controls from patients with 68% accuracy.
Aalto Stochastics & Statistics Seminar
Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
* Thursday 29 January 2026, 09:15, M3 (M234)
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887
Prof. Andrea Pinamonti (Università di Trento)
A Gentle Introduction to Sub-Riemannian Geometry
Wednesday 04 February 2026, 10:15, M3 (M234)
In this talk, we introduce the main ideas of sub-Riemannian geometry, and briefly describe some of its applications and open problems.
Seminar on analysis and geometry / Korte
Nivedita (University of Oxford)
TBA
Tuesday 10 February 2026, 10:15, M3 (M234)
Professor Anders Christian Hansen, University of Cambridge, UK
Necessary mechanisms for super AI and stopping hallucinations: The consistent reasoning paradox and the indeterminacy function.
Tuesday 10 February 2026, 15:15, M1 (M232)
Creating Artificial Super Intelligence (ASI) (AI that surpasses human intelligence) is the ultimate challenge in AI research. This is, as we will discuss, fundamentally linked to the problem of avoiding hallucinations (wrong, yet plausible answers) in AI. We will describe a key mechanism that must be present in any ASI. This mechanism is not present in any modern chatbot and we will discuss how, without it, ASI will never be achievable. Moreover, we reveal that AI missing this mechanism will always hallucinate. Specifically, this mechanism is the computation of what we call an indeterminacy function. An indeterminacy function determines when an AI is correct and when it will not be able to answer with 100% confidence. The root to these findings is the Consistent Reasoning Paradox (CRP), which is a new paradox in logical reasoning that we will describe in the talk. The CRP shows that the above mechanism must be present as surprisingly an ASI that is pretty sure (more than 50%) can rewrite itself to become 100% certain. It will compute an indeterminacy function and either be correct with 100% confidence, or it will not be more than 50% sure. The CRP addresses a long-standing issue that stems from Turings famous statement that infallible AI cannot be intelligent, where he questions how much intelligence may be displayed if an AI makes no pretence at infallibility. The CRP answers this consistent reasoning requires fallibility and thus marks a necessary fundamental shift in AI design if ASI is to ever be achieved and hallucinations to be stopped.
Department Colloquim
Anestis Tzogias (U. Neuchatel)
The Arakelov class group and hard cryptographic problems on ideal lattices
Thursday 12 February 2026, 16:00, M237
Euclidean lattices are a trendy topic from the applied side, as they are a very promising candidate for constructing quantum-resistant cryptographic protocols, based on hard problems such as the Shortest Vector Problem (SVP). Ideal lattices are a class of lattices coming from ideals in number fields, and recently they have been getting attention for allowing efficient implementation of cryptographic lattice protocols, with perhaps the most famous being based on the Learning With Errors problem. From the mathematical side, the space of all ideal lattices up to isometry is an object well-known to number theorists, called the Arakelov class group. We will discuss a result of de Boer et al. which uses random walks on the topological structure of the Arakelov class group and the Extended Riemann Hypothesis to relate the average-case and worst-case instances of the SVP problem on ideal lattices.
ANTA Seminar / Hollanti et al.
Dr. Lucas Hataishi (University of Oxford)
TBA
Tuesday 17 February 2026, 10:15, M3 (M234)
Romain Usciati (Paris-Saclay)
TBA
Tuesday 24 February 2026, 10:15, M3 (M234)
Milla Laurikkala
Midterm review
Tuesday 24 February 2026, 11:15, M2 (M233)
Lorenzo Zacchini (Aalto University)
Fractional integrals on spaces of homogeneous type
Wednesday 25 February 2026, 10:15, M3 (M234)
Analysis seminar / Hytönen
Dr. John Urschel (MIT)
TBA
Tuesday 10 March 2026, 15:15, U5 (U147)
Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
Thursday 12 March 2026, 09:00, TBA
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887
Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
Friday 08 May 2026, 09:00, TBA
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887
Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
Monday 15 June 2026, 09:00, TBA
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887
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