• Characterization of Tropical Planar Curves up to Genus Six 

      [OWP-2022-06] Tewari, Ayush Kumar (Mathematisches Forschungsinstitut Oberwolfach, 2022-03-16)
      We provide new forbidden criterion for realizability of smooth tropical plane curves. This in turn provides us a complete classification of smooth tropical plane curves up to genus six.
    • Fundamental Theorem of Projective Geometry over Semirings 

      [OWP-2021-09] Tewari, Ayush Kumar (Mathematisches Forschungsinstitut Oberwolfach, 2021-10-11)
      We state the fundamental theorem of projective geometry for semimodules over semirings, which is facilitated by recent work in the study of bases in semimodules defined over semirings. In the process we explore in detail ...
    • Reflection Positivity and Hankel Operators- the Multiplicity Free Case 

      [OWP-2021-10] Adamo, Maria Stella; Neeb, Karl-Hermann; Schober, Jonas (Mathematisches Forschungsinstitut Oberwolfach, 2021-12-15)
      We analyze reflection positive representations in terms of positive Hankel operators. This is motivated by the fact that positive Hankel operators are described in terms of their Carleson measures, whereas the compatibility ...
    • Weak*-Continuity of Invariant Means on Spaces of Matrix Coefficients 

      [OWP-2021-08] de Laat, Tim; Zadeh, Safoura (Mathematisches Forschungsinstitut Oberwolfach, 2021-07-13)
      With every locally compact group $G$, one can associate several interesting bi-invariant subspaces $X(G)$ of the weakly almost periodic functions $\mathrm{WAP}(G)$ on $G$, each of which captures parts of the representation ...