IPM Calendar 
Monday 10 May 2021   Today  
Events for day: Thursday 12 November 2020    
           11:00 - 13:00     Commutative Algebra Webinar
Minimal free resolution of circuit ideal of chordal clutters


Minimal free resolution of monomial ideals is one of the central topics in combinatorial commutative algebra. Many of numerical invariants of an ideal are encoded in Betti numbers obtained from minimal free resolution. In general, adding a generator $u$ to a given ideal $I$ may cause changing almost all Betti numbers of the new ideal $I+(u)$. In this talk, we consider a square-free monomial ideal $I$ and we show that under some conditions on a square-free monomial $u$, the Betti numbers of $I+(u)$ can be computed by those of $I$. Based on this result, for a given clutter $mathcal{C}$, we define the concept of simplicial sublutters and we show ...

           11:00 - 12:00     Theory Weekly Seminar (TWS)-skyroom
Tilted Dirac cone materials from some hydrodynamic approach


Abstract: Tilted Dirac materials are among the most exciting matters which have been explored recently in different directions. In the continuum limit, most of the condensed matter systems are invariant under Galilean symmetries and in some cases such as graphene under Lorenrtzian symmetries, but the classification of lattice's symmetries allows us to consider non-symmorphic symmetries for lattices. From the low energy limit(long wave-length and long-time), this non-symmorphic structure of lattices can be translated to non-Minkowskian metrics. In this talk, we explore the hydrodynamic behavior of electrons in such metrics.