Matematiikan ja systeemianalyysin laitos
- Tutkimusryhmät
- Opiskelu
- Henkilökunta
- Ajankohtaista
- Yhteystiedot
- Sisäsivut
* Seuraavan viikon tapahtumat merkitty tähdellä
Aleksi Avela
On Handling Imbalanced Data in Text Classification (Master's thesis presentation)
* Wednesday 20 October 2021, 16:00, Zoom
Further information
Milo Orlich(Aalto)
Parabolic Betti numbers and regularity of edge ideals of graphs
* Thursday 21 October 2021, 10:00, M3 (M234)
To a finite undirected graph G with no multiple edges and no loops, one associates its so-called edge ideal I(G), in a polynomial ring with coefficients in a field. The Betti numbers are numerical invariants defined in a purely algebraic way for any homogeneous ideal in such a polynomial ring, in particular for edge ideals I(G). The Betti numbers of an edge ideal I(G) have well-known combinatorial interpretations in terms of the graph G. However, a satisfactory explicit description of these numbers in terms of "easy" invariants of G (such as the number of edges of G, the number of triangles, etc.) is still out of reach in general. Another numerical invariant, much coarser than the Betti numbers, is the regularity of I(G). In spite of the great deal of research the regularity of I(G) has been the subject of, there are still no general "easy" formulas for it, either. In a recent joint work with Alexander Engström we introduce the concept of "parabolic Betti number" and employ methods from extremal graph theory to determine the exact value of the regularity of I(G), for almost all graphs G with a given parabolic Betti number equal to zero. Large part of the talk will be devoted to defining all the notions involved, in order to make it as accessible as possible. Next week's talk by Alex Engström is going to be closely related, and this talk can be seen as an introduction to that.
StAGe
Bachelor Seminar in Systems Analysis
* Friday 22 October 2021, 09:30, Zoom
For Zoom link contact Juho Roponen
Kim Myyryläinen
Dyadic maximal operator on the dyadic JohnNirenberg space
Wednesday 03 November 2021, 12:15, M3 (M234)
Seminar on analysis and geometry
Kristian Moring
TBA
Wednesday 10 November 2021, 12:15, M3 (M234)
Seminar on analysis and geometry
Julian Weigt
TBA
Wednesday 17 November 2021, 12:15, M3 (M234)
Seminar on analysis and geometry
Cintia Pacchiano
TBA
Wednesday 24 November 2021, 12:15, M3 (M234)
Seminar on analysis and geometry
Emma-Karoliina Kurki
TBA
Wednesday 01 December 2021, 12:15, M3 (M234)
Seminar on analysis and geometry
Lauri Särkiö (masters thesis talk)
TBA
Wednesday 08 December 2021, 12:15, M3 (M234)
Seminar on analysis and geometry
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Sivusta vastaa: webmaster-math [at] list [dot] aalto [dot] fi