• Age 65-79 years with a fitness assessment of unfit or frail per simplified GA (Appendix 1, www.filinf.it/epi)

• Age ≥80 years with any fitness level

• Pathologically confirmed DLBCL, HGBCL or transformed lymphoma

• No prior systemic anti-lymphoma therapy (prednisone/equivalent up to 100 mg daily x 7 days is permissible)

• Ann Arbor Stage 2 bulky, 3 or 4 disease (Appendix 1)

• Any IPI score (Appendix 1)

• Anthracycline eligible: LVEF ≥ 45% by echocardiogram or MUGA scan.

• Must have at least one bi-dimensionally measurable lesion (\>1.5 cm in its largest dimension for nodal lesions, or \>1.0 cm in its largest dimension for extranodal lesions by computerized tomography \[CT\] scan or MRI)

• Eastern Cooperative Oncology Group performance status ≤ 2 (Appendix 1)

⁃ Must have adequate organ and marrow status:

∙ Absolute neutrophil count (ANC) ≥1,000/mm3 or ≥500/mm3 if due to disease involvement in the bone marrow

‣ Platelet count ≥50,000 cells/mm3 or ≥25,000/mm3 if due to disease involvement in the bone marrow

‣ Patients who do not meet criteria for bone marrow function due to marrow involvement of lymphoma and/or other disease-related cytopenias (e.g., immune thrombocytopenia) may be enrolled into the study after discussion with, and confirmation by the PI.

‣ Serum creatinine ≤ULN OR estimated Creatinine Clearance (CrCl) ≥30 mL/min (Cockcroft-Gault formula or other institutional standard methods)

‣ Serum aspartate transaminase (AST) or alanine transaminase (ALT) ≤3 x upper limit of normal (ULN)

‣ Total bilirubin ≤ 1.5 x ULN (≤3 if due to Gilbert's syndrome or liver involvement by the lymphoma

‣ Patients who do not meet criteria for liver function due to liver involvement of lymphoma may be enrolled into the study after discussion with, and confirmation by the PI.

⁃ Negative HIV test at screening, with the following exception: Individuals with a positive HIV test at screening are eligible provided, prior to enrollment, they are stable on antiretroviral therapy, have a CD4 count ≥200/µL, and have an undetectable viral load.

⁃ Signed Informed Consent Form(s)

⁃ Ability to comply with all the study-related procedures, in the investigator's judgement

⁃ Female patients who are not of child bearing potential (i.e., who are postmenopausal or surgically sterile). For male participants: agreement to remain abstinent (refrain from heterosexual intercourse) or use contraceptive methods, and agree to refrain from donating sperm, as defined below: With a female partner of childbearing potential or pregnant female partners, male participants must remain abstinent or use a condom plus an additional contraceptive method that together result in a failure rate of \< 1% per year during the treatment period and for at least 6 months after pretreatment with obinutuzumab, 6 months after the last dose of polatuzumab, 160 days after the last dose of rituximab, 2 months after the final dose of glofitamab or 2 months after the last dose of tocilizumab (as applicable), whichever is longer. Male participants must refrain from donating sperm during this same period. The reliability of sexual abstinence should be evaluated in relation to the duration of the clinical trial and the preferred and usual lifestyle of the individual. Periodic abstinence (e.g., calendar, ovulation, symptothermal, or postovulation methods) and withdrawal are not adequate methods of contraception. If required per local guidelines or regulations, locally recognized adequate methods of contraception and information about the reliability of abstinence will be described in the local Informed Consent Form.